Question

The length and breadth of a rectangle are in the ratio 7:5 and the perimeter is 1200 cm. Find the area of the rectangle.

Answer 1

Step-by-step explanation:

Let length of rectangle=lcm

breadth of rectangle= bcm

Given length is 3 times its breadth

i.e. l= 3×b

Perimeter of the rectangle= 120 cm

i.e.2×( l+ b)=120

2×(3×b+ b)=120

2×(4×b)=120

8×b=120

b=15 cm

since we know

perimeter=2(l+b)

120=2(l+15)

120=2l+30

2l=120-30

2l=90

l=90/2

l=45

since we know,

area =(l×b)

=(45 × 15)

=675cm²