Question

The length of a rectangle is 5times

the breadth, if the perimeter of a
rectangle is 72cm find the area.

Answer 1

Explanation:

Formula Development

Let the width = w

Let the Length = 5*w

P = 72

P =2w + 2L

Area = 5w * w

Solution

Start with the Perimeter. Solve for w.

P = 2w + 2L Substitute the givens

72 = 2w + 2*5w Combine

72 = 2w + 10w Combine Combine again

72 = 12 w Divide by 12

72/12 = 12w/12

w = 6

Now for the area

Area = 5w * w

w = 6

Area = 5*6*6

Answer: Area = 180 cm^2