SOLUTION: Which expression could be used to represent the area of the shaded region of the rectangle, reduced to simplest terms?
There are two rectangles. One big one and one smaller one th
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There are two rectangles. One big one and one smaller one th
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Question 1011751: Which expression could be used to represent the area of the shaded region of the rectangle, reduced to simplest terms?
There are two rectangles. One big one and one smaller one that is in the inside of the big rectangle. The spaces between them are shaded. The bigger rectangle has a length of 4x and a width of x+2. The inside rectangle has a length of x+1 and a width of x.
a. 4x2 + 8x
b. 3x2 + 9x
c. 3x2 - 7x
d. 3x2 + 7x Answer by ikleyn(52788) (Show Source):
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Which expression could be used to represent the area of the shaded region of the rectangle, reduced to simplest terms?
There are two rectangles. One big one and one smaller one that is in the inside of the big rectangle. The spaces between them are shaded. The bigger rectangle has a length of 4x and a width of x+2. The inside rectangle has a length of x+1 and a width of x.
a. 4x2 + 8x
b. 3x2 + 9x
c. 3x2 - 7x
d. 3x2 + 7x
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Write the expression for the area of bigger rectangle.
It is S = 4x*(x+2).
Next write the expression for the area of smaller rectangle.
It is s = (x+1)*x
The area of the shaded space is the difference S - s = 4x(x+2) - (x+1)*x.
Simplify it, and you will get the answer.
It is not difficult. You can complete it yourself.
