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