Question

#The length of a rectangle 5/4 of its breadth. If the perimeter of the rectangle is 144m, then area of rectangle is-​

Answer 1

Answer: Area of rectangle is 1280 square units

Step-by-step explanation:

Given:

The sides of a rectangle are in the ratio of 5:4

the perimeter of the rectangle is 144m

Length = 5x

Breadth =4x

Perimeter of rectangle = 2 (l+b)

144=2 (5x+4x)

144=2 ×9x

72=9x

8=x

Hence we get the x value,

Length = 5*x=5×8=40unit

Breadth =4*x=4x8=32unit

Area of rectangle=length*breadth

=40x32=1280 square units

Thus, area of rectangle is 1280 square units

Answer 2

Step-by-step explanation:

let,

breath of rectangle= X

length of rectangle= X×5/4

than,

perimeter=144m

2(l+b)=144

(5x/4+X) =144/2=72

(5x+4x)/4=72

5x+4x=72×4=288

9x=288

X=288/9=32

X=32

breath=32m

length=32×5/4=8×5=40m

hence,

area of rectangle=32×40=1280m2 ans

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