Question

Mark (✓) against the correct answer
The length and breadth of a rectangular park are in the ratio 4 : 3 and its perimeter is 56 m. The area of the field is

(a) 192 m²
(b) 300 m²
(c) 432 m²
(d) 228 m²

Answer 1

(a) 192 m²

Let the length of the rectangular park be 4x.
∴ Breadth = 3x
Perimeter of the park = 2(l + b) = 56 m (given)
⇒ 56 = 2(4x + 3x)
⇒ 56 = 14x
⇒ x = $\frac{56}{14}$= 4
Length = 4x = (4 × 4) = 16 m
Breadth = 3x = (3 × 4) = 12 m
∴ Area of the rectangular park = 16 m × 12 m = 192 m²