SOLUTION: The perimeter of a rectangle oceanfront lot is 190 meters. The width is one-fourth of the legnth. Find the dimensions.

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Question 149178: The perimeter of a rectangle oceanfront lot is 190 meters. The width is one-fourth of the legnth. Find the dimensions.
Answer by HyperBrain(694) About Me  (Show Source):
You can put this solution on YOUR website!
if you remember, the formula for the perimeter is:
P=2%28length+%2Bwidth%29
The perimeter of a rectangle oceanfront lot is 190 meters.
So, P=190. Thus,
The first equation is
190=2%28length%2Bwidth%29
Dividing both sides by 2,
95=length%2Bwidth
length%2Bwidth=95----2nd equation

The width is one-fourth of the length.
So, the next equation is:
width=length%2F4
If you substitute this to the 2nd equation,
length%2B%28length%2F4%29=95
%284%2Alength%2F4%29%2B%28length%2F4%29=95
5%2Alength%2F4=95
Multiplying both sides by 4,
5%2Alength=380
Dividing both sides by 5,
length=76
Since width=length%2F4 then,
width=76%2F4=19

Therefore, the dimensions of the rectangle is 76*19.
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HyperBrain!