Question

The ratio between the length and breadth of a rectangular garden is $5:3$. If the perimeter of the garden is $160$ meters, what will be the area of $5\text{m}$ wide road around its outside?

• A. $600{\text{m}}^2$
• B. $1200{\text{m}}^2$
• C. $900{\text{m}}^2$
• D. $1000{\text{m}}^2$

Answer 1

Answer: (C)

$900{\text{m}}^2$

let length of garden$=5x$
breadth of garden$=3x$
perimeter$=$160m
$2(5x+3x)=16016x=160x=10m$
length$=5\times 10=50m$
breadth$=3\times 10=30m$
area of road$=(50+10)(30+10)-(50\times 30)=2400-1500=900m^2$