Mark (✓) against the correct answer. The length and breadth of a … - Vidyadip

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 $4 x$.
Breadth $=3 x$
Perimeter of the park $=2(1+b)=56 m ($given$)$
$\Rightarrow 56=2(4 x+3 x)$
$\Rightarrow 56=14 x$
$\Rightarrow x=4$
Length $=4 x=(4 \times 4)=16 m$
Breadth $=3 x =(3 \times 4)=12 m$
Area of the rectangular park $=16 m \times 12 m=192 m^2$

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