-
The perimeter of a rectangle is 160 metre and the difference of two sides is 48 metre. Find the side of a square whose area is equal to the area of this rectangle.
-
- 32 m
- 8 m
- 4 m
- 16 m
- 32 m
Correct Option: A
Let the length and breadth of rectangle are a and b respectively.
According to the question, 
2(a + b) = 160
| ⇒ a = | = 64 m | |
| 2 |
From equation (i),
b = 80 – 64 = 16 m
∴ Area of rectangle = 64 × 16 m²
∴ Area of square = 64 × 16 m²
⇒ (side)² = 64 × 16
⇒ side = 8 × 4 = 32 m
