Study Guide and Review - Chapter 8
2
2
The area to be paved is 10x + 7x − 12 units .
18. PICTURE FRAMES Jean is framing a painting
that is a rectangle. What is the perimeter of the
frame?
34. GEOMETRY Write an expression to represent the
area of the shaded region.
SOLUTION: Find the area of the larger rectangle.
SOLUTION: 2
The perimeter of the frame is 4x + 4x + 8.
22. GEOMETRY Find the area of the rectangle.
Find the area of the smaller rectangle.
To find the area of the shaded region, subtract the
area of the smaller rectangle from the area of the
larger rectangle.
SOLUTION: 3
2
The area of the rectangle is 3x + 3x − 21x.
27. PARKING LOT The parking lot shown is to be
paved. What is the area to be paved?
2
The area of the shaded region is 3x − 21.
45. GEOMETRY The area of the rectangle shown is
3
2
x − 2x + 5x square units. What is the length?
SOLUTION: SOLUTION: 3
2
2
The area of the rectangle is x − 2x + 5x or x(x –
2x + 5). Area is found by multiplying the length by
the width. Because the width is x, the length must be
2
x − 2x + 5.
2
2
The area to be paved is 10x + 7x − 12 units .
34. GEOMETRY Write an expression to represent the
area of the shaded region.
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