Question

The perimeter of a rectangle is 204 centimeters. 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

Explanation:

2×length + 2×width = 204 cm

length = x

width = 3×(x + 2)

as consecutive even integers are always spaced out by 2 (2, 4, 6, ...).

we are using these 2 equations in the first main equation :

2×x + 2×3×(x + 2) = 204

2x + 6x + 12 = 204

8x + 12 = 204

8x = 192

x = 192/8 = 24

length = x = 24 cm

width = 3(x + 2) = 3×26 = 78 cm