Observe the shapes 1, 2, 3 and 4 in the figures. Which of the following statements is not correct?
a. Shapes 1, 3 and 4 have different areas and different perimeters.
b. Shapes 1 and 4 have the same area as well as the same perimeter.
c. Shapes 1, 2 and 4 have the same area.
d. Shapes 1, 3 and 4 have the same perimeter.

Solution:

From the figure

Shape 1

We know that

Perimeter = 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1

= 22 units

Here

Area = 18 × 1 = 18 sq units

Shape 2

We know that

Perimeter = 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1

= 18 units

Here

Area = 18 × 1 = 18 sq units

Shape 3

We know that

Perimeter = 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1

= 22 units

Area = 16 × 1 = 16 sq units

Shape 4

We know that

Perimeter = 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1

= 22 units

Here

Area = 18 × 1 = 18 sq units

Therefore, statement a is false.

✦ Try This: Circumference of a circle is 55 cm. Find its area.

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 11

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NCERT Exemplar Class 7 Maths Chapter 9 Problem 1

Observe the shapes 1, 2, 3 and 4 in the figures. Which of the following statements is not correct? a. Shapes 1, 3 and 4 have different areas and different perimeters, b. Shapes 1 and 4 have the same area as well as the same perimeter, c. Shapes 1, 2 and 4 have the same area, d. Shapes 1, 3 and 4 have the same perimeter.

Summary:

Observing the shapes 1, 2, 3 and 4 in the figures, statement a is not correct

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