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Crank
3 years ago
8

You plan to use 170 feet of fencing to enclose a Rectangular play area of 2800 square feet. You plan to build the play area so i

t is centered against the back of your home which is 50 feet in length. Determine the dimensions necessary to enclose the required area.
Mathematics
1 answer:
Talja [164]3 years ago
3 0

Answer:

  40 ft by 70 ft

Step-by-step explanation:

The 50 ft side of the house can add to the total perimeter of the play area, allowing it to be 170+50 = 220 feet. Then the sum of length and width will be half that, or 110 feet.

Factors of 2800 that have a sum of 110 are 40 and 70.

The play area fence can extend 10 ft either side of the house, out 40 ft, then 70 ft across the back, for a total length of 170 ft. Dimensions of the play area are 40 ft by 70 ft.

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