Length of rectangle is 3 cm less than 4 times it’s width. If the perimeter is 72 cm, find the dimensions.

Answer 1

Let's use the variable w to represent the width of the rectangle.

Then we can write the following expression to represent the length: 4w - 3

Perimeter is equal to 2 times the length plus 2 times the width.

The following equation would represent the perimeter for this problem:

2 * length + 2 * width = 72

2(4w - 3 ) + 2w = 72

Now combine like terms and use inverse operations to solve for w:

8w - 6 + 2w= 72

10w - 6 = 72

10w - 6 + 6 = 72 + 6

10w = 78

10w/10 = 78/10

w = 7.8 cm

The width will be 7.8 cm.

The length will be 4w -3 OR 4 * 7.8 - 3 = 31.2 - 3 = 28.2

The length will be 28.2 cm.