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

is there supposed to be a diagram or a graph for this one? ?

step-by-step explanation:

the height of the surface increases from the center out to the sides of the road.

step-by-step explanation:

as we move out we move away from the x-axis.

and as mentioned in the problem statement that height of a road increases when we move away from the center x.

hence proved that 3rd option

the height of the surface increases from the center out to the sides of the road.

is the correct option.