Question

The perimeter of a rectangular swimming pool is 154 m. Its length is 5 m more than twice its breadth. What is the area of the rectangular swimming pool?

• A. $1272m^2$
• B. $1260m^2$
• C. $1225m^2$
• D. $1200m^2$

Answer 1

The correct option is A $1272m^2$

Given:
The perimeter of the swimming pool = 154 m.
Let the breadth of the swimming pool be x m.
$\therefore$ The length of the swimming pool = (5 + 2x) m.
Perimeter of swimming pool = $2(length+breadth)$
$154=2\left\{\right(x)+(2x+5\left)\right\}154=2(3x+5)154=(6x+10)6x=144\therefore x=24m.$
Hence, the breadth of the swimming pool is 24 m.
The length of the swimming pool $=2x+5=2\times 24+5=53$ m.

$\therefore$ The area of the swimming pool = length $\times$ breadth
= $24\times 53=1272m^2$