Question
A rectangular lawn has a circumference of 156 m. Calculate the sides of the lawn if its area is 1457 m2.
Answers
oobleck
If the dimensions are x and y, then we have
2(x+y) = 156
xy = 1457
x(78-x) = 1457
x^2 - 78x + 1457 = 0
(x-31)(x-47) = 0
The lawn is 31 by 47
2(x+y) = 156
xy = 1457
x(78-x) = 1457
x^2 - 78x + 1457 = 0
(x-31)(x-47) = 0
The lawn is 31 by 47