Question

The area of a rectangular school yard is 3,195 square meters. The perimeter is 232 meters. What are the dimensions of the school yard?

Answer 1

71 m x 45 m

Explanation:

Length = x, Width = y

x * y = 3,195

2(x + y) = 232, so

x + y = 232/2 = 116, they y = 116 - x

x * (116 - x) = 3,195

116x - x² = 3,195

x² - 116x +
`x = (116\pm√(116^2-4*3195))/(2)` = 71, 45

so x = 71, y = 45