# perimeter and area class 7 worksheets ncert

Since same length of wire is used to from rectangle and square, Perimeter of square \(=\) perimeter of rectangle, \[\begin{align}4 \times {\rm{Side}} &= 2\left( {{\rm{Length}} + {\rm{Breadth}}} \right)\\4 \times {\rm{Side}} &= 2\left( {40 + 22} \right){\rm{ }}\\4 \times {\rm{Side}} &= 2 \times 62{\rm{ }}\\4 \times {\rm{Side}} &= 124\\{\rm{Side}} &= \frac{{124}}{4}\\{\rm{Side}} &= 31\;{\rm{cm}}\end{align}\], \[\begin{align}\text{Area of square}& = {\rm{side}} \times {\rm{side}}\\& = 31 \times 31\\ &= 961\;{\rm c{m^2}}\end{align}\], \(\begin{align}& \text{Area of rectangle} \\ &= {\rm{Length}} \times {\rm{Breadth}}\end{align} \), \(\begin{align} & = 40 \times 22\\&= 880{\rm{ }}{\rm\, c{m^2}}\end{align}\). If the width of each road is 3 m, find.

The area of a square park is the same as of a rectangular park.

A verandah of width 2.25 m is constructed all along outside a room which is 5.5 m long and 4 m wide. The NCERT Solutions for Chapter 11, Class 7 Maths on Vedantu will help you address your doubts from this topic.

(π = 3.14), Perimeter of the square = 4 × side of the square, So, the length of cord left with Pragya = Perimeter of circular pipe – Perimeter of square. The new length and breadth of the cardboard when margin is not included is 5 cm and 2 cm respectively.

Here we provided 01 Marks that’s mean MCQ Type Questions and their Solution And Long Answer Type Questions & Solution. Also, the concepts of measurement using a basic unit area of a square, rectangle, triangle, parallelogram, and circle, area between two rectangles and two concentric circles. After calculating the area, the cost of land can be calculated by multiplying the total area with the cost of \(1\,\rm{}m^2\) of the land.

Then the cost of constructing the 441 m2 roads = 441 × 110, 8. Worksheet solutions for chapter: Perimeter and Area for class 7 are provided. Area of a square park \(=\) Area of a rectangular park, Length of the rectangular park \(= 90\,\rm{m}\), Let breadth of the rectangular park \(= b \,\rm{}m\), Since, area of a square park \(=\) area of a rectangular park, \[\begin{align}{\rm{Side}} \times {\rm{Side}} &= {\rm{Length}} \times {\rm{Breadth}}\\60 \times 60 &= 90 \times b\\b &= \frac{{3600}}{{90}}\\b &= 40 \, \rm{ } m\end{align}\].

(ii) the cost of constructing the roads at the rate of ₹ 110 per m2.

\[\begin{align}\text{Area of wall}&= {\rm{Length}} \times {\rm{Breadth}}\\ &= 4.5 \times 3.6{\rm{ }}\\&= 16.2{\rm{ }}{\rm \,m^2}\end{align}\], \[\begin{align}\text{Area of door}&= {\rm{Length}} \times {\rm{Breadth}}\\&= 2 \times 1\\&= 2{\rm{ }}{\rm \,m^2}\end{align}\], \(\begin{align}&\text{Area of wall for white wash}\\ &= {\text{Area of wall}} - {\text{Area of door}} \end{align}\), \(\begin{align} &= 16.2{\rm{ }}{\rm \,m^2} - 2{\rm{ }}{\rm \,m^2}\\&= 14.2{\rm{ }}{\rm \,m^2}\end{align}\), \(= \rm{Rs }\,20\,{\rm{ per\, }}{\rm m^2} \), \(\begin{align}{\text{The cost of white washing}}\;1618{\rm{ }}{\,\rm m^2} \end{align} \), \[\begin{align} &= 14.2 \times 20\\ &= {\rm{Rs\, }}284\end{align}\], Instant doubt clearing with Cuemath Advanced Math Program. Applications you must have observed quite often in real life, for instance in gardens or parks, some space is left all around in the form of path or in between as cross paths. After, finding area to be whitewashed, multiply the area with rate of white washing \(\rm{}per\, m^2\) to get the cost. A path 1 m wide is built along the border and inside a square garden of side 30 m. Find: (ii) the cost of planting grass in the remaining portion of the garden at the rate of ₹ 40 per m2. Check the below NCERT MCQ Questions for Class 7 Maths Chapter 11 Perimeter and Area with Answers Pdf free download.

(ii) the cost of the land, if \(1\,\rm{}m^2\) of the land costs \(₹10,000.\). Both cross road have the same width = 3 m. Given, the cost of constructing the roads at the rate of ₹ 110 per m2.

Perimeter of a rectangular sheet \(= 100 \,\rm{}cm\), Length of a rectangular sheet \(= 35 \,\rm{}cm\), \[\begin{align} &= {\rm{2}}\left( {{\rm{Length}} + {\rm{Breadth}}} \right)\\{\rm{100}} &= {\rm{2}}\,l + {\rm{2}}\,b\\{\rm{100}} &= {\rm{2}} \times {\rm{35}} + {\rm{2}}\,b \\{\rm{100}} &= {\rm{70}} + {\rm{2}}\,b\\{\rm{2}}\,b &= {\rm{100}} - {\rm{70}}\\b &= \frac{{{\rm{30}}}}{{\rm{2}}}\\b &= {\rm{15 }}\,\rm{}cm\end{align}\], \[\begin{align} &= {\rm{Length}} \times {\rm{Breadth}}\\&= 35 \times 15{\rm{ }}\\&= 525{\rm{ }}\,\rm{}c{m^2}\end{align}\]. Students can score more marks in Maths by practising NCERT Solutions for Class 7 Maths Chapter 11 Perimeter and Area. The new side of the square garden when path is not included is 28 m. New area of the room when verandah is included = 282, The area of path = Area of the square garden when path is included – Area of the square, Given, the cost of planting the grass in the remaining portion of the garden at the rate of, Then the cost of planting the grass in 784 m2 area of the garden = 784 × 40.

Area of the rectangular lawn = Length × Breadth, The area of the lawn excluding the area of the flower bed = Area of rectangular lawn –, The circumference of the flower bed = 2πr. Once length and breadth of rectangular sheet are known, area of rectangular sheet can be calculated. You will get an idea of π, the circumference of a circle and other related concepts in this chapter. Your email address will not be published. Also find the area of the park excluding cross roads. 9. Perimeter of the rectangular sheet is \(100 \,\rm{}cm\) and its length is \(35 \,\rm{}cm.\) By using the formula of perimeter of rectangle, find the breadth of rectangular sheet.

Also, the side of the square park is \(60 \,\rm{}m\) and the length of the rectangular park is \(90\,\rm{m}\). The NCERT Solutions for Chapter 11, Class 7 Maths on Vedantu will help you address your doubts from this topic.

Now, by knowing the area of both the shapes you can easily decide which shape encloses more area. You will get an idea of π, the circumference of a circle and other related concepts in this chapter.

Mathematics NCERT Grade 7, Chapter 11: Perimeter and Area- This chapter gives all the details about the perimeter and area of plane figures.Firstly the chapter discusses squares and rectangles.. Perimeter is the distance around a closed figure whereas area is the part of the plane occupied by the closed figure. Find the cost of white washing the wall, if the rate of white washing the wall is \(\rm{}Rs\, 20 \,per\, m^2\), A door of length \(2\,\rm{}m\) and breadth \(1\,\rm{}m\) is fitted in a wall of length \(4.5\,\rm{}m\) and the breadth \(3.6\,\rm{}m\), The cost of white washing the wall, if the rate of white washing the wall is \(\rm{}Rs\, 20 \,per\, m^2.\). (ii) the cost of the land, if \(1\,\rm{}m^2\) of the land costs \(₹10,000\). Find the breadth of a rectangular plot of land, if its area is \(440 \,\rm{m^2}\) and the length is \(22 \,\rm{}m.\) Also, find its perimeter.

Since door will not be whitewashed, we will have to subtract area of the door from the area of wall. The perimeter and the breadth of the rectangle. By referring to these Solutions, you will find a comprehensive study and a better understanding of the topic. Also find which shape encloses more area ? All solutions are explained well. The, on Vedantu will help you address your doubts from this topic. Find the area of the quadrilateral ABCD.

Find: (ii) the cost of cementing the floor of the verandah at the rate of ₹ 200 per m2. Also find the area. This question is based on the concept of area and perimeter of rectangle.using the formula of area of rectangle, find the breadth of rectangular plot. In this question, perimeter of square park is given. , Maths solutions and solutions of other subjects. Give the answer in hectares. Also, the concepts of measurement using a basic unit area of a square, rectangle, triangle, parallelogram, and circle, area between two rectangles and two concentric circles. 5. ; The perimeter of the following geometrical shapes are discussed in the first section:

NCERT Solutions for Class 7 Maths Exercise 11.4 Chapter 11 Perimeter and Area in simple PDF are available here. By referring to these Solutions, you will find a comprehensive study and a better understanding of the topic.

The new length and breadth of the garden when path is included is 100 m and 85 m respectively.

The area and breadth of rectangular sheet. Perimeter and Area Extra Questions and Answers for Class 7 Level Students of CBSE / NCERT Board Published in this Page. NCERT Solutions for Class 7 Maths Exercise 11.4 Chapter 11 Perimeter and Area in simple PDF are available here.

Did she have any cord left? Find the area of the path. Conversion of units and applications are the topics covered in this exercise of NCERT Solutions Maths for Class 7 Chapter 11.

Through a rectangular field of length 90 m and breadth 60 m, two roads are constructed which are parallel to the sides and cut each other at right angles through the centre of the fields.

The wire is initially in the shape of rectangle and the same wire is rebent in the shape of square. \(\begin{align}&\text{Area of rectangle}\\& = {\rm{Length}} \times {\rm{Breadth}} \end{align} \), \(\begin{align}&= 500 \times 300\\ &= 150000\;\rm{m^2}\end{align}\), (ii) Cost of \(1\,\rm{}m^2\) of the land \(= \rm{}Rs \,10,000\), \[\begin{align}\therefore {\text{Cost of 1500 }}{{\rm{m}}^{\rm{2}}}\;{\text{of the land}}\end{align}\], \[\begin{align}&= 10,000 \times 1500 \\&= {\rm{Rs}}1,500,000,000\end{align}\], Find the area of a square park whose perimeter is \(320\,\rm{} m.\). The concepts of ‘Perimeter and Area’ are discussed in Chapter 11, Class 7 NCERT Maths. 1.

3. Now,the length and breadth of the rectangular plot is known, use the formula of perimeter of rectangle and find the perimeter of plot of land.

Therefore, it is clear from the above that the figure square encloses more area than rectangle.

A garden is 90 m long and 75 m broad.

AC = 22 cm, BM = 3 cm DN = 3 cm and BM ⊥ AC, DN ⊥ AC, To find the area of quadrilateral ABCD, first we have to find the area of ΔABC, and ΔADC Area of ΔABC = ½ × Base × Height, Area of quadrilateral ABCD = Area of ΔABC + Area of ΔADC, Your email address will not be published.

If the side of the square park is \(60\,\rm{m}\) and the length of the rectangular park is \(90\,\rm{m},\) find the breadth of the rectangular park. Perimeter And Area For Class 7 - Displaying top 8 worksheets found for this concept..

The perimeter of a rectangle is \(130 \,\rm{}cm.\) If the breadth of the rectangle is \(30 \,\rm{}cm, \) find its length.

Area of rectangular plot of land \(= 440 \,\rm{m^2}\), Length of rectangular plot of land \(= 22 \,\rm{}m\), Let us say that breadth of rectangular plot of land \(= x \,\rm{}m\), \(\begin{align}&\text{Area of rectangle}\\&= {\rm{Length}} \times {\rm{Breadth}} \end{align} \), \[\begin{align} {\rm{440}} &= {\rm{22}}\,x\\x &= \frac{{440}}{{22}}\\x &= 20\; \rm m\end{align}\], So, breadth of rectangular plot of land \(= 20 \,\rm{}m\), \[\begin{align} &= 2\left( {{\rm{Length}} + {\rm{Breadth}}} \right)\\&= 2\left( {22 + 20} \right)\\ &= 84{\,\rm{ m}}\end{align}\].

Then she wrapped it around a square box of side 4 cm (also shown).

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