Question

The perimeter of a rectangular field is $480$ metres and the ratio between the length and breadth is $5:3$; the area is:

• A. $13.5m^2$
• B. $1550m^2$
• C. $155$ ares
• D. $135$ ares

Answer 1

The correct option is D $135$ ares

Let the common ratio be x;

l=5x

b=3x

Perimeter of rectangle=2(l+b)

480=2(5x+3x)

16x=480

x=30m

Area of rectangle=l*b

l=5*30=150m

b=3*30=90m

Area=150*90

• =13500m^2
• 1 are=100m^2
• 13500m^2=(13500/100)ares
• =135ares