Question

12.

The area of a square and a rectangular field is equal and is 900 m2. If the perimeter of the rectangular
field is 2 m more than that of the square field, calculate the dimensions of the rectangular field
(A) 24 m, 10 m (B) 30 m, 25 m (C) 36 m, 25 m (D) 36 m, 24 m​

Answer 1

Step-by-step explanation:

Calculate length :

$\implies$ $A=l^{2}$

$\implies$ $900=l^{2}$

$\implies$ $l=\sqrt{900}$

$\implies$ $l=30m$

Perimeter of the square :

$\implies$ $P=4l$

$\implies$ $P=4×30m$

$\implies$ $P=120m$

Perimeter of rectangle is 2m more = 120+2 = 122m

Calculate the dimensions :

$\implies$ $P=2l+2b$

$\implies$ $122=2(30)+2b$

$\implies$ $122-60=2b$

$\implies$ $b={\Large\frac{62}{2}}$

$\implies$ $\boxed{31m}$

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