In Fig. 9.26, the perimeter of (ii) is greater than that of (i), but its area is smaller than that of (i). Is the given statement true or false?

Solution:

Given, the perimeter of (ii) is greater than that of (i), but its area is smaller than that of (i).

We have to determine if the given statement is true or false.

Area is the amount of space occupied by a two-dimensional figure.

Perimeter is the total length of the boundary of any closed shape.

From the figure,

We observe that the perimeter of (ii) is greater than that of (i)

The area of (ii) is smaller than that of (i)

Therefore, the given statement is true.

✦ Try This: If the side of a square is 12 cm, its perimeter is ____

Given, the length of the side of square is 12 cm

We have to find the perimeter of square

Perimeter of square = 4 x a

= 4 x 12

= 48 cm²

Therefore, the perimeter of the square is 48 cm².

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

NCERT Exemplar Class 7 Maths Chapter 9 Problem 57

In Fig. 9.26, the perimeter of (ii) is greater than that of (i), but its area is smaller than that of (i). Is the given statement true or false?

Summary:

The given statement, “ In Fig. 9.26, the perimeter of (ii) is greater than that of (i), but its area is smaller than that of (i)” is true

☛ Related Questions:

• In Fig. 9.27, the area of (i) is the same as the area of (ii). Is the given statement true or false
• In Fig. 9.27, the perimeter of (ii) is the same as (i). Is the given statement true or false
• In Fig. 9.27, if (ii) is divided into squares of unit length, then its area is 13 unit squares. Is t . . . .