Area of Composite Shapes and Surface Area

What it the equation to find the area of a parallelogram?

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What it the equation to find the area of a trapezoid?

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What it the equation to find the area of a circle?

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What it the equation to find the area of a triangle?

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To Find the Area of Composite Shapes, like the one shown, you simply...

• Divide the shape into simple known shapes, find the area of each shape, and add the areas together.

• Create a new shape and find the area of that shape.

• Divide the shape into simple known shapes, find the area of each shape, and multiply the areas together.

• Find the area of each shape and subtract the areas of the smaller shapes from the largest shape.

Find the total area of the given shape.

• 9.75 ft²

• 8.625 ft²

• 7.50 ft²

• 9.375 ft²

A utility line runs underground through Shayne's backyard. Shayne is not allowed to dig within 3 feet of either side of the utility line. The diagram shows the dimensions of his backyard and where he is not allowed to dig.

What is the area, in square feet, of the part of the yard where Shayne can dig?

• 272 ft²

• 374 ft²

• 102 ft²

• 59 ft²

Which of the following is closest to the area of the shape given?

• 52 cm²

• 44 cm²

• 26 cm²

• 38 cm²

Tags

CCSS.6.G.A.1

Surface area is...

• The area of all sides of a three-dimensional shape added together.

• The amount of space inside a 3-dimensional shape.

• The area of a two-dimensional shape.

• The area of just the top and bottom of a three-dimensional shape.

Lateral Surface Area is...

• The area of just the sides of a three dimensional shape. Take the areas of each side of the shape and add them together.

• The area of just the top and bottom (bases) of a three dimensional shape added together.

• The area of a two dimensional shape.

• The area of all the sides, including bases, of a three-dimensional shape all added together.