MCQ
Mark $(✓)$ against the correct answer. The length and breadth of a rectangular park are in the ratio $4 : 3$ and its perimeter is 56m. The area of the field is:
- ✓$192 m^2$
- B$300 m^2$
- C$432 m^2$
- D$228 m^2$
✓
Answer
Correct option: A.
$192 m^2$
Let the length of the rectangular park be $4x.$
Breadth $= 3x$
Perimeter of the park $= 2 (l + b) = 56m$ (given)
$\Rightarrow 56 = 2 (4x + 3x)$
$\Rightarrow 56 = 14x$
$\Rightarrow x = 4$
Length $= 4x = (4 × 4) = 16m$
Breadth $= 3x = (3 × 4) = 12m$
Area of the rectangular park $= 16m \times 12m=$ $192 m^2$
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