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strojnjashka [21]
3 years ago
9

Please answer this correctly

Mathematics
1 answer:
NeTakaya3 years ago
5 0

Answer:

15 feet by 13 feet.

Step-by-step explanation:

Let the length be x and the width be y  feet.

Perimeter:

2x + 2y = 56

Area:

xy = 195

From the second equation x = 195/y

Substitute for x in the fist equation:

2 * (195/y) + 2y = 56

390/y + 2y = 56

Multiply through by y:

390 + 2y^2 = 56y

2y^2 - 56y + 390 = 0

y^2 - 28y + 195 = 0

y = 13 , 15

Now substitute for y = 13 in  equation 1:

2x + 26 = 56

2x = 30

x = 15..

X is the length  so the length = 15 and the width = 13 feet.

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