Question 1031851

The perimeter of a rectangular garden is 60 m and its area is 225 m^. Find the length of the garden. Use L = length and W = width. 
A. Write a quadratic equation in terms of L in the form 0 = aL + bL + c that represents the area of the the flower bed.
B. Solve the quadratic equation you wrote in part A using one of the methods discussed in this unit.
<pre>With L and W being the length and width, respectively, we get: 2(L + W) = 60______2(L + W) = 2(30)_______L + W = 30_______W = 30 - L
As area is {{{matrix(1,2, 225, m^2)}}}, we can say that: L(30 - L) = 225
{{{30L - L^2 = 225}}}
{{{highlight_green(0 = L^2 - 30L +225)}}}
Solve by any of the 4 methods to get dimensions: {{{matrix(1,5, 15, m, by, 15, m)}}}