Area of Irregular Shapes - Grade 10

This worksheet focuses on calculating the area of irregular shapes by decomposing them into simpler geometric figures.

Grade 10 Math GeometryAreaArea of Irregular Shapes

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Includes

4 Short AnswerMultiple ChoiceFill in the Blanks

Standards

CCSS.MATH.CONTENT.HSG.GMD.A.3CCSS.MATH.CONTENT.HSG.GPE.B.7

Topics

GeometryAreaIrregular ShapesDecompositionGrade 10

8 sections · Free to use · Printable

Area of Irregular Shapes

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Carefully read each question and calculate the area of the irregular shapes by decomposing them into familiar geometric figures. Show all your work.

1. Find the area of the figure below. All angles are right angles.

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Area: square units

2. Calculate the area of the compound shape shown below. Assume the curved part is a semicircle.

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Area: square units

3. A garden plot has the shape of a rectangle with a triangular section removed from one corner. Find the area of the garden.

Show your work:

Area: square meters

4. Which of the following methods is generally used to find the area of an irregular polygon?

Using only the perimeter

Decomposing it into regular shapes

Measuring its diagonals

Calculating its volume

5. To find the area of an irregular shape, you can often divide it into smaller, more familiar shapes such as , , and .

6. A swimming pool has the shape of a rectangle with a trapezoid attached to one side. Find the total area of the pool's surface.

Show your work:

Area: square feet