Understanding Areas of Composite Shapes

What shapes do we decompose the composite shape into for easier area calculation?

• A circle and a square

• Two triangles and a rectangle

• Two semi-circles and a square

• Two semi-circles and a rectangle

Tags

CCSS.4.G.A.2

What formula is used to calculate the area of a circle?

• Area = circumference / pi

• Area = diameter * pi

• Area = radius * radius * pi

• Area = 2 * radius * pi

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CCSS.HSG.GMD.A.1

How do you find the radius if only a part of the circle is visible?

• By visualizing the complete circle and identifying the radius

• By doubling the length of the visible part

• By calculating the diameter first

• By measuring the visible arc

Tags

CCSS.4.G.A.1

What is the formula for the area of a rectangle?

• Area = length + width

• Area = length * width

• Area = 2 * (length + width)

• Area = length / width

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CCSS.3.MD.C.5

CCSS.3.MD.C.7

How do you find the height of the rectangle in the composite shape?

• By doubling the radius of the circle

• By adding the radius to the diameter of the circle

• By halving the base of the rectangle

• By measuring the side directly

Tags

CCSS.7.G.B.6

What is the final step in calculating the area of the composite shape?

• Dividing the rectangle's area by the circle's area

• Multiplying the areas of the circle and rectangle

• Adding the areas of the circle and rectangle

• Subtracting the circle's area from the rectangle's area

Tags

CCSS.7.G.B.4

CCSS.7.G.B.6

For the practice problem, what is the new base of the rectangle?

• 85 meters

• 75 meters

• 95 meters

• 65 meters

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CCSS.7.G.B.6

What is the new dimension given for the radius in the practice problem?

• 12.5 meters

• 25 meters

• 37.5 meters

• 50 meters

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CCSS.7.G.B.4

CCSS.7.G.B.6

How do you adjust the calculation if the base of the rectangle changes?

• Recalculate both the circle's and rectangle's areas

• No adjustment is necessary

• Recalculate the area of the circle only

• Only the rectangle's area needs to be recalculated

Tags

CCSS.HSG.GPE.B.7

What is the rounded final area of the shape with the new dimensions?

• 5713 meters squared

• 5813 meters squared

• 5613 meters squared

• 5913 meters squared

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CCSS.5.NBT.A.4