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

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.