SOLUTION: The perimeter of a rectangle campsite is 38m and its area is 84m squared. Find the length and breadth of the campsite
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Question 1041806: The perimeter of a rectangle campsite is 38m and its area is 84m squared. Find the length and breadth of the campsite Answer by jorel555(1290) (Show Source):
You can put this solution on YOUR website! If the perimeter is 38m, then that represents 2x the length plus 2x the width, or
P=2L+2W
2L+2W=38
2L=38-2W
L=19-W.
So:
W(19-W)=84
19W-W²=84
W²-19W+84=0
(W-7)(W-12)=0
W=7 or 12
The campsite is 7m x 12m. ☺☺☺☺
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