Question

A rectangle’s length is 6 more than 4 times its width. If the perimeter is 42, how long is the rectangle

Answer 1

The Length of the rectangle is 18 unit.

What is the Perimeter of a Rectangle?

Perimeter of rectangle = 2(length + width)

Given the following:

Let x represent the width of the rectangle

Width of the rectangle = x

Length of the rectangle = 4x + 6

Perimeter of rectangle = 42 units

Therefore, we would write the following equation to find x based on the formula for finding the perimeter of a rectangle:

2(4x + 6 + x) = 42

2(5x + 6) = 42

10x + 12 = 42

10x = 42 - 12

10x = 30

10x/10 = 30/10

x = 3

The width (x) = 3.

Length of the rectangle = 4(3) + 6

Length of the rectangle = 18 unit.

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