Question

a rectangle has a length of 4x and a width of 4x-2. it perimeter i 12 inches. find the length and width

Answer 1

perimeter (P ) = 2( length + width )

=2(4x+4x-2)

=2(8x-2) = 16x -4

thus 16x-4 = 12 (add 4 to both sides)

16x = 16 hence x = 1

length = 4x = 4x1 = 4 inches and width = 4x - 2 = 4-2 = 2 inches