Question

A rectangular goat pen has an area of 40 square meters. Its perimeter is 26 meters. What are the dimensions of the pen?

Answer 1

Let the dimensions be x and y

Given that the area is 40m²
xy = 40 ----------------- (1)

Given that the perimeter is 26
2(x + y) = 26
x + y = 13
x = 13 - y ---------------- Sub into (1)

(13 - y)y = 40
13y - y² = 40
y² - 13y + 40 = 0
(y - 8)(y - 5) = =
y = 8 or y = 5

The dimensions are 8 meters and 5 meters