Question

The sides of a rectangular plotare in the ratio 5:4 and its area is equal to 500 sq.m. The perimeter of the plot is :

• A. 80 m
• B. 100 m
• C. 90 m
• D. 95 m

Answer 1

Answer:

C. 90 m

Area of rectangle = l × b

5x × 4x = 500 sq.m.

or, $20x^2 = 500$ sq.m.

=>x^2=\frac{500}{20}=25

$x=\sqrt{25}$ = 5m

=>l=5\times{5}=25m

=>b=4\times{5}=20m

$Perimeter=2(l+b)$

$=2\times{(25+20)}$

$=2\times{45}$

$=90m$