NCERT Solutions for Class 7 Mathematics Chapter 11: Perimeter and Area

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NCERT Solutions for Class 7 Mathematics Chapter 11 Perimeter and Area is provided in this article. Two-dimensional forms have two key properties: area and perimeter. The perimeter of a form is defined by the distance between its boundary and the area occupied by it. Some of the important topics in Perimeter and Area chapter includes:

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NCERT Solutions for Class 7 Mathematics Chapter 11

NCERT Solutions for Class 7 Mathematics Chapter 11 Perimeter and Area is given below.

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NCERT Solutions for Class 7 Mathematics

Area: It is the two-dimensional space occupied within the boundaries of a geometrical figure.

Perimeter: It is the length of the boundary of a two-dimensional geometrical figure.

Example 1: Find the area of a square of side 5 cm.

Ans. We know that,

Area of square = a x a

Area = 5 x 5

Area of square = 25 sq.cm

Example 2: Find the perimeter of square of side 10 cm.

Ans. We know that,

Perimeter of square = 4a

Perimeter = 4 x 5

Perimeter = 20 sq.cm


NCERT Solutions for Class 7 Maths Chapter 11 Exercises

NCERT Solutions for Class 7 Maths Chapter 11 Area and Perimeter Exercises are given below.

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Class 7 Maths Study Guides:

CBSE X Related Questions

  • 1.
    Assertion (A) : H.C.F. \((36 m^{2}, 18 m) = 18 m\), where \(m\) is a prime number.
    Reason (R) : H.C.F. of two numbers is always less than or equal to the smaller number.

      • Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
      • Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
      • Assertion (A) is true, but Reason (R) is false.
      • Assertion (A) is false, but Reason (R) is true.

    • 2.
      If the pair of linear equations : \( a_1x + b_1y + c_1 = 0 \) and \( a_2x + b_2y + c_2 = 0 \) is consistent and dependent, then

        • \( \frac{a_1}{a_2} \neq \frac{b_1}{b_2} \)
        • \( \frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2} \)
        • \( \frac{a_1}{a_2} = \frac{b_1}{b_2} \neq \frac{c_1}{c_2} \)
        • \( \frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2} \)

      • 3.
        \(ABCD\) is a parallelogram such that \(AF = 7 \text{ cm}\), \(FB = 3 \text{ cm}\) and \(EF = 4 \text{ cm}\), length \(FD\) equals

          • \(\frac{21}{4} \text{ cm}\)
          • \(\frac{28}{3} \text{ cm}\)
          • \(\frac{12}{7} \text{ cm}\)
          • \(5.5 \text{ cm}\)

        • 4.
          Two water taps together can fill a tank in $8\frac{8}{9}$ hours. The tap of larger diameter takes 4 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.


            • 5.
              The HCF of 960 and 432 is :

                • 48
                • 54
                • 72
                • 36

              • 6.
                In the figure given above, \(\triangle ABC \sim \triangle XYZ\), then find the values of \(x\) and \(y\).

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