Calculating the Area of Rectangles and Composite Shapes

This video tutorial covers the calculation of the area of rectangles and composite figures. It begins with a basic explanation of finding the area of a rectangle and progresses to more complex figures, including composite and symmetrical shapes. The tutorial also includes a word problem involving the perimeter and area of a rectangle. Throughout, the video emphasizes breaking down complex figures into simpler rectangles to calculate total area.

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

• Area = Length + Width

• Area = Length / Width

• Area = Length * Width

• Area = (Length + Width) / 2

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CCSS.3.MD.C.7B

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What is the area of a rectangle with a length of 10 units and a width of 6 units?

• 30 square units

• 60 square units

• 16 square units

• 15 square units

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CCSS.3.MD.C.7D

In a composite figure made of rectangles, if one rectangle has an area of 65 square units and another has 60 square units, what is the total area?

• 125 square units

• 130 square units

• 65 square units

• 60 square units

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CCSS.3.MD.C.7D

How do you find the area of a composite figure?

• By subtracting the smaller shape from the larger shape

• By adding the areas of each shape within the figure

• By multiplying the length and width of the outer shape

• By dividing the figure into rectangles and calculating each area

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How do you find the length of a side in a composite figure if it's not directly given?

• By calculating the difference between two related sides

• By using the Pythagorean theorem

• By subtracting the known lengths from the total perimeter

• By adding the lengths of the adjacent sides

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CCSS.3.MD.C.7D

How do you calculate the area of a shaded region within a rectangle?

• Multiply the length by the width of the shaded part

• Subtract the area of the unshaded part from the total area

• Subtract the area of the smaller rectangle from the larger rectangle

• Add the area of the shaded part to the total area

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CCSS.3.MD.C.7D

When calculating the area of a shaded region inside a rectangle, what is the final step?

• Add the area of the shaded region to the total area

• Subtract the area of the shaded region from the total area

• Multiply the area of the shaded region by two

• Divide the total area by the area of the shaded region

If the perimeter of a rectangle is 54 units and the length is 6 more than twice the width, what is the width?

• 14 units

• 7 units

• 9 units

• 12 units

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CCSS.3.MD.C.7B

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What is the first step in solving a word problem involving the area of a rectangle?

• Divide the perimeter by four

• Identify the length and width of the rectangle

• Calculate the perimeter of the rectangle

• Draw a diagram of the rectangle

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CCSS.3.MD.C.7B

CCSS.4.MD.A.3

What is the area of a rectangle with dimensions 20 units by 7 units?

• 140 square units

• 34 square units

• 47 square units

• 27 square units

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CCSS.3.MD.C.7B

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