Find the side of a square whose area is equal to the area of a rectangle with sides 6.4m and 2.5m.

Solution:

Given, the dimensions of a rectangle are 6.4 m and 2.5 m

Area of the square is equal to the area of the rectangle.

We have to find the side of the square.

Length of rectangle = 6.4 m

Breadth of rectangle = 2.5 m

We know, area of rectangle = length × breadth

= 6.4 × 2.5

= 16 square metres.

According to the question,

Area of square = 16 square metres.

We know area of the square = (side)²

(side)² = 16

Taking square root,

Side = 4 m

Therefore, the side of the square is 4 m.

✦ Try This: Find the side of a square whose area is equal to the area of a rectangle with sides 5.8 m and 1.2 m.

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 3 Problem 121

Find the side of a square whose area is equal to the area of a rectangle with sides 6.4m and 2.5m

Summary:

The side of a square whose area is equal to the area of a rectangle with sides 6.4 m and 2.5 m is 4 m.

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