Question

The perimeter of the rectangle is 216 cm. If it's length and breadth are in the ratio 4:5, find it's dimensions and it's area.

Answer 1

let l be 4x
let b be 5x

perimeter=2(l+b)
216/2=4x+5x
108=9x
108/9=x
12=x


l=48
b=60

area=lxb
=48x60
=2880
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Answer 2

Let the angle be 4x and 5x
Now,2(4x+5x)=216
2×9x=216
18x=216x
x=216/18
x=12
Now,put the value
4×12=48cm
5×12=60cm
so, 48cm and 60cm are the dimensions of rectangle
Area of rectangle=l×b
so,48×60=2880 cm²