If the perimeter of a rectangular garden plot is 34feet and its area is 60square feet, what is the length of each of the longer sides?
I know area = l*w and then common sense tells me 12*5...but I always get the wrong answer setting up the problem.
If the perimeter of a rectangular garden plot is 34feet and its area is 60square feet, what is the length of each of the longer sides?
I know area = l*w and then common sense tells me 12*5...but I always get the wrong answer setting up the problem.
Let length = l and width = w
Then perimeter = 2l + 2w and area = lw
So 2l + 2w = 34 and lw = 60
l = 60/w
2(60/w) + 2w = 34
120/w + 2w = 34
120 + 2w^2 = 34w
2w^2 - 34w + 120 = 0
w^2 - 17w + 60 = 0
(w - 12)(w - 5) =0
w = 12 or w = 5
If w = 5 then l = 60/w = 60/5 = 12
If w = 12 then l = 60/w = 60/12 = 5
So longest side is 12