whats is the answer to this.

Question

The length of a rectangle is 3 cm less than 4 times the width. If the perimeter is 54 cm, find the width.

Answer 1

Hi Kaleb,

The perimeter of a rectangle is calculated by the formula 2w + 2L = perimeter.

Since the length (L) is equal to 4 times the width (w) minus 3, it can be replaced in the equation with 4w-3.

And since we know the perimeter = 54cm, we can plug that into the equation as well.

Now we have 2(4w - 3) + 2w = 54cm.

By distributing the 2, we get 8w - 6 + 2w = 54, or 10w - 6 = 54cm.

To solve for w, add 6 to both sides to get 10w = 60cm, then divide both sides by 10 to get w = 6cm.

The width of the rectange is 6cm.