SOLUTION: The perimeter of a rectangle is 246 units. The base of the rectangle is five times the height. Find the area.

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Question 1060621: The perimeter of a rectangle is 246 units. The base of the rectangle is five times the height. Find the area.
Found 2 solutions by Fombitz, MathTherapy:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
P=2%28B%2BH%29=246
B%2BH=123
and
B=5H
Substituting,
5H%2BH=123
6H=123
H=123%2F6
H=41%2F3
So then,
B=5%2841%2F3%29
B=205%2F3
For a rectangle,
A=BH
A=%2841%2F3%29%28205%2F3%29
A=8405%2F9

Answer by MathTherapy(10809) About Me  (Show Source):
You can put this solution on YOUR website!

The perimeter of a rectangle is 246 units. The base of the rectangle is five times the height. Find the area. 
Let height be H

Then base = 5H

2(H + 5H) = 246_____2(6H) = 246_____12H = 246____H, or height = matrix%281%2C6%2C++246%2F12%2C+or%2C+41%2F2%2C+or%2C+20.5%2C+units%29

Height: 5(20.5), or 102.5 units

Area = B(H), or 20.5(102.5)

You can do the calculation.