Question

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 it is centered against the back of your home which is 50 feet in length. Determine the dimensions necessary to enclose the required area.

Answer 1

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.