SOLUTION: Please help!
A rectangular picture has a length of 2x+2 inches and a width of x-4 inches. Write the expression, in terms of x, that represents the area of the picture. Simplify th
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Question 721229: Please help!
A rectangular picture has a length of 2x+2 inches and a width of x-4 inches. Write the expression, in terms of x, that represents the area of the picture. Simplify the expression. Next, you decide to frame the picture with a frame that is x units wide. Determine the dimension, in terms of x, of the framed piture.
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Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
A rectangular picture has a length of 2x+2 inches and a width of x-4 inches. Write the expression, in terms of x, that represents the area of the picture. Simplify the expression. Next, you decide to frame the picture with a frame that is x units wide. Determine the dimension, in terms of x, of the framed piture.
.
since area is
width*length
(x-4)(2x+2)
FOILing:
2x^2+2x-8x-8
2x^2-6x-8 (area)
.
Second part.
Since the frame is x units wide we ADD 2x to width and length:
width:
x-4 +2x = 3x-4
length:
2x+2 + 2x = 4x+2
Dimensions:
width by length
(3x-4) by (4x+2)
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