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NCERT Exemplar · Class 7 · Maths

Chapter 9: Perimeter and Area

Practice each question, then open the answer or worked solution.

Questions

65 questions
Q41Written answer

In Fig. 9.25, area of parallelogram BCEF is cm2 where ACDF is a rectangle.

NCERT Exemplar Class 7 Maths Solutions Chapter 9 Perimeter and Area Image 14

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Worked solution

Solution:-

In area of parallelogram BCEF is 35cm2 where ACDF is a rectangle.

From the figure FE = FD – AB

= 10 – 3

= 7 cm

Then, area of parallelogram = base × height

= FE × CE [CD = CE]

= FE × CD

= 7 × 5

= 35 cm2

Q42Written answer

To find area, any side of a parallelogram can be chosen as of the parallelogram.

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Solution:-

To find area, any side of a parallelogram can be chosen as base of the parallelogram.

Q43Written answer

Perpendicular dropped on the base of a parallelogram from the opposite vertex is known as the corresponding height/altitude of the base.

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Solution:-

Perpendicular dropped on the base of a parallelogram from the opposite vertex is known as the corresponding height/altitude of the base.

Q44Written answer

The distance around a circle is its .

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Solution:-

The distance around a circle is its circumference.

Q45Written answer

Ratio of the circumference of a circle to its diameter is denoted by symbol .

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Solution:-

Ratio of the circumference of a circle to its diameter is denoted by symbol π.

Q46Written answer

If area of a triangular piece of cardboard is 90 cm2, then the length of altitude corresponding to 20 cm long base is cm.

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Solution:-

If area of a triangular piece of cardboard is 90 cm2, then the length of altitude corresponding to 20 cm long base is 9cm.

We know that, area of triangle = ½ × base × height

90 = ½ × 20 × height

Height = 9 cm

Q47Written answer

Value of π is approximately .

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Solution:-

Value of π is (22/7)=3.14 approximately.

Q48Written answer

Circumference ‘C’ of a circle can be found by multiplying diameter ‘d’ with .

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Solution:-

Circumference ‘C’ of a circle can be found by multiplying diameter ‘d’ with π.

We know that, circumference of circle when radius is considered = 2 πr

When diameter is considered = πd

Q49Written answer

Circumference ‘C’ of a circle is equal to 2π × .

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Solution:-

Circumference ‘C’ of a circle is equal to 2π × r.

Q50Written answer

1 m2 = cm2.

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Solution:-

1 m2 = 10000 cm2.

We know that, 1 m = 100 cm

1 m2 = 1002 cm2