Question

The length of a rectangle is one more than four times its width. If the perimeter of the rectangle is 62 meters, find the dimensions of the rectangle.

Answer 1

Length = 25 meters

Width = 6 meters

Explanation:

62 = 2(a+b)

a = 4b + 1

a = length

b = width

then:

62 = 2((4b+1)+b)

62/2 = 4b+b+1

31 = 5b + 1

31 - 1 = 5b

30 = 5b

b = 30/5

b = 6m

a = 4b + 1

a = 4*6 + 1

a = 24 + 1

a = 25m

Check:

62 = 2(6+25)

62 = 2*31