SOLUTION: One side of a rectangle is 3 cm longer than twice the shorter side,and the area is 230cm^2.Find the perimeter of the rectangle.

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Question 1186848: One side of a rectangle is 3 cm longer than twice the shorter side,and the area is 230cm^2.Find the perimeter of the rectangle.
Found 2 solutions by Alan3354, josgarithmetic:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
One side of a rectangle is 3 cm longer than twice the shorter side,and the area is 230cm^2.Find the perimeter of the rectangle.
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It's 10 by 23.
Factoring 230 makes it obvious.

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
One side, 2x+3
Shorter side, x
AREA, x%282x%2B3%29=230


2x%5E2%2B3x-230=0

discriminant, 3%5E2%2B4%2A2%2A230=1849=43%5E2

x=%28-3%2B43%29%2F4
x=10

Perimeter
2%2810%2B23%29
highlight%2866%29