Answer:
15 feet by 13 feet.
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.