Question

What is the perimeter if 4x-2 is the length and 6 is the width?

Answer 1

rectangle has a length of 4x and a width of 4x-2. Its perimeter is 12 inchs. find the length and width

.

Since perimeter of any rectangle:

length + length + width + width = perimeter

2length + 2width = perimeter

2(length + width) = perimeter

.

Substitute what was given:

length = 4x

width = 2x-2

perimeter = 12

.

2(4x + 2x-2) = 12

2(6x-2) = 12

6x-2 = 6

6x = 8

x = 8/6

x = 4/3

.

length = 4x = 4(4/3) = 16/3 inches

width = 2x-2 = 2(4/3)-2 = 8/3 -2 = 8/3 - 6/3 = 2/3 inches