Question

The length of a rectangle is 3cm greater than its width. the perimeter is 24cm. what are the dimensions of the rectangle

Answer 1

We need to make an equation. The equation used to find perimeter is 2L+2W=A

We know that the area is 24 cm. We also know that the length is 3 cm more than its width: L=3+W; let's plug that equation in for L.

2(3+W)+2W=24; let's simplify the parenthesis. 6+2w+2w=24 6+4w=24; subtract 6 from both sides. 4w=18; divide both sides by 4. W=4.5

Let's find the length if the width is 4.5.

4.5+3=7.5; So, the length is 7.5 and the width is 4.5. Let's check. 2(7.5)+2(4.5)=15+9=24

So, the length is 7.5 and the width is 4.5.