the perimeter of a rectangle is 42 cm and the area is 80 cm. write an equation to model the situation and find the dimensions of the rectangle

l = 5

w = 16

OR

l = 16

w = 5

Step-by-step explanation:

p=2l+2w

A=l*w

42=2l+2w

divide by 2

21=l+w

solve for either l or w (I'll solve for l)

21-w=l

plug in l to area equation

80 = (21-w) * w

80=21w-w²

bring the right side to the left side of the equation

w²-21w+80=0

find the zeros

w=5,16

plug w into the equation to find l

21-5=16

21-16=5

l=5,16

l = 5

w = 16

OR

l = 16

w = 5