SOLUTION: A rectangle has as many square inches of area as it has inches of perimeter. The rectangle is 6 inches long. How wide, in inches, is the rectangle?

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Question 1155125: A rectangle has as many square inches of area as it has inches of perimeter. The
rectangle is 6 inches long. How wide, in inches, is the rectangle?
Found 3 solutions by MathLover1, josgarithmetic, ikleyn:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

A rectangle has as many square inches of area as it has inches of perimeter.
A=L%2AW
P=2%28L%2BW%29
given A=P
and L=6+
A=6%2AW
P=2%286%2BW%29
=>6%2AW=2%286%2BW%29
6%2AW=12%2B2W
6%2AW-2W=12
4W=12
W=3 ->the rectangle is 3 inches wide


check the area and perimeter:
A=6%2AW->A=6%2A3->A=18 in squared
P=2%286%2BW%29->P=2%286%2B3%29->P=18 inches



Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
A, area of rectangle in square inches

Length, 6 inches
Width, w

Perimeter 2%2A6%2B2%2Aw=A
;
6w=A
solve this for w.

highlight_green%282%2A6%2B2w=6w%29

Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.

Perimeter = Area


2*6 + 2x  = 6x


6x - 2x = 12.


4x = 12


x = 12/4 = 3  inches.    ANSWER