Calculating Areas of Shapes

The video tutorial explains how to find the area of composite figures by breaking them down into simpler shapes with known area formulas. It covers calculations for rectangles, triangles, semicircles, and squares, emphasizing the importance of knowing the formulas for each shape. The tutorial provides step-by-step examples and concludes with a review of the key concepts.

What is a composite figure?

• A figure with no defined area

• A figure made up of two or more shapes

• A shape that cannot be decomposed

• A shape made up of only one type of shape

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CCSS.3.MD.C.7D

How do you find the area of a composite figure?

• Multiply the areas of all shapes

• Decompose the figure into known shapes and add their areas

• Subtract the areas of all shapes

• Divide the figure into equal parts

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CCSS.3.MD.C.7B

CCSS.4.MD.A.3

What is the area of a rectangle with a length of 9 and a width of 7?

• 91 square meters

• 28 square meters

• 63 square meters

• 54 square meters

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CCSS.6.G.A.1

How do you calculate the area of a triangle?

• Base times height

• Length times width

• Base plus height

• One-half base times height

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CCSS.7.G.B.4

What is the area of a semi-circle with a radius of 2?

• 8 square yards

• 12.56 square yards

• 3.14 square yards

• 6.28 square yards

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CCSS.7.G.B.4

What is the formula for the area of a circle?

• Length times width

• Base times height

• Pi times radius squared

• One-half base times height

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

What is the area of a square with a side length of 10?

• 75 millimeters squared

• 50 millimeters squared

• 100 millimeters squared

• 25 millimeters squared

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CCSS.7.G.B.4

How do you calculate the area of a full circle if you have two identical semi-circles?

• Multiply the area of one semi-circle by 2

• Add the areas of the two semi-circles

• Divide the area of one semi-circle by 2

• Subtract the area of one semi-circle from the other

What is the total area of a composite figure with a square and two semi-circles?

• 100 millimeters squared

• 178.5 millimeters squared

• 200 millimeters squared

• 150 millimeters squared

Why is it important to know the formulas for different shapes?

• To color the shapes correctly

• To find the area of composite figures

• To calculate the perimeter of shapes

• To draw the shapes accurately