Question

The perimeter of a rectangle is 76 meters. Find the length and width if the length is an even integer and the width is 3 times the next consecutive even integer.

Answer 1

Length = 8 m

Width = 30 m

Explanation:

Let length = x.

Then width = 3(x + 2).

P = 2(L + W)

76 = 2[x + 3(x + 2)]

76 = 2[x + 3x + 6]

76 = 2[4x + 6]

8x + 12 = 76

8x = 64

x = 8

3(x + 2) = 3(10) = 30

Answer:

Length = 8 m

Width = 30 m