Answer:
12 feet and 15 feet
Step-by-step explanation:
perimeter = p
perimeter of a rectangle= 2*L +2*w
area of a rectangle = L*w
w= width
L = length
the statement tell us:
area = 180 square feet = area of a rectangle
p = 54 feet
so we have:
180= L*w equation 1
54 = 2*L +2*w equation 2
using equation 2 we have:
2L = 54 -2w
L= (54-2w)/2
L = 27 - w equation 3
using equation 3 in equation 1 we have:
180= (27 - w) * w
180 = 27w -w^2
w^2 -27w +180=0
using quadratic equation : ax^2 + bx +c =0
with a= 1 b= -27 c= 180
we have:
w = 12 feet = width
L = 27 - 12 = 15 feet = length
the dimensions are 12 feet and 15 feet
