SOLUTION: How do you find the length and width of a rectangle if the perimeter=38 and the area=90 square meters?

Question 9674: How do you find the length and width of a rectangle if the perimeter=38 and the area=90 square meters?
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
You could try this:
A = L X W = 90 m^2 This is the area.
P = 2(L+W) = 38 m This is the perimeter. Solve this for L and substitute in the above equation, then solve for W.
2(L+W) = 38
L+W = 19
L = 19-W
Simplify and solve for W

Solve this quadratic by factoring.
Apply the zero product principle.
W-9 = 0 or W-10 = 0
If W-9 = 0, then w = 9
If W-10 = 0, then W = 10
These two numbers are actually the length and the width of the rectangle.
L = 10 m and W = 9 m.
Check:
A = LW = 10(9) = 90 m^2
P = 2(L+W) = 2(10+9) = 2(19) = 38 meters.
RELATED QUESTIONS
A rectangle has a length of 12 meters and a perimeter of 38 meters. Find the width of... (answered by SnowXclouD)

if the perimeter of a rectangle is 70 meters, and the length is 1.5 times the width, find (answered by TheProdicalSon)

the area of a rectangle is 315 square meters. If the perimeter is 72 meters, find the... (answered by solver91311)

If the width of a rectangle is 5 meters less than the length and the perimeter of the... (answered by stanbon)

The area of a rectangle is 14 square meters. Find the length and width of the rectangle... (answered by mananth)

The area of a rectangle is 56 square meters. Find the length and width of the rectangle... (answered by tommyt3rd)

find the perimeter and area of a rectangle with width 3 meters and length 11... (answered by rapaljer)

Find the perimeter and area of a rectangle with width 3 meters and length 11... (answered by JBarnum)

If the floor of a room is a rectangle and it has a perimeter of 22 meters and area of 24... (answered by Cromlix)