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A diagram shows a large rectangle divided into four smaller shapes: VCAZ, ZADY, CWBA, and ABXD. Determine the area of each smaller shape.
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3.1.1 Area of VCAZ
Identify the shape and its dimensions.
VCAZ is a square with side length units.
Apply the formula for the area of a square.
Area of VCAZ units.
The area of VCAZ is .3.1.2 Area of ZADY
Identify the shape and its dimensions.
ZADY is a rectangle. Its length is units. Its width is units.
Apply the formula for the area of a rectangle.
Area of ZADY units.
The area of ZADY is .3.1.3 Area of CWBA
Identify the shape and its dimensions.
CWBA is a rectangle. Its length is units. Its width is . From the diagram, . Since VCAZ is a square, units. So, units.
Apply the formula for the area of a rectangle.
Area of CWBA units.
The area of CWBA is .3.1.4 Area of ABXD
Identify the shape and its dimensions.
ABXD is a square with side length units.
Apply the formula for the area of a square.
Area of ABXD units.
The area of ABXD is .3.1.5
Expand the product.
Distribute and simplify.
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