We understand that the area is 24 cm. We additionally know that the size is 3 cm an ext than that is width: L=3+W; let"s plug the equation in because that L.

You are watching: The length of a rectangle is 3 cm greater than its width the perimeter is 24

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

Let"s discover the length if the broad is 4.5.

4.5+3=7.5; So, the size is 7.5 and the broad is 4.5. Let"s check. 2(7.5)+2(4.5)=15+9=24

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


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