The perimeter of Sarah’s garden is 30 feet and the area is 50 square feet. What are the dimensions of Sarah’s rectangular garden? (Give the measurement of the sides)

Answer 1

2(L+w) = 30 ---> L+w = 15 ---> w = 15-L

Lw = 50

L(15-L)= 50

15L - L^2 = 50

0 = L^2 - 15L + 50

0 = ( L - 10 )(L - 5 )

L-10 = 0 ---> L=10

L-5=0 --> L=5

Length is 10, width is 5