Topics
6. 2D Geometry
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United States of AmericaVirginia
Grade 8

6.04 Perimeter and area of composite shapes

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

Think about the shape shown below.

A composite shape is made up of two rectangles labeled $A$A and $B$B. Scale lines indicate the dimensions of the composite shape. Rectangle $A$A is vertically oriented with a height measuring $17$17 $cm$cm and a width measurement of $4$4 $cm$cm. Rectangle $B$B has a given width measuring $6$6 $cm$cm, while the height is not labeled. Rectangle $B$B is attached to the right side of the rectangle $A$A and positioned such that its bottom side is $3$3-$cm$cm from the bottom of rectangle $A$A and its top side is $6$6-$cm$cm from the top of rectangle $A$A.
a

Find the area of rectangle $B$B.

b

Now, calculate the total area of the given shape.

Easy
2min

Think about the shape shown below.

Easy
1min

Think about the shape shown below.

Easy
1min

Find the area of the given shape.

Medium
1min
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Outcomes

8.MG.5

The student will solve area and perimeter problems involving composite plane figures, including those in context.

8.MG.5a

Subdivide a plane figure into triangles, rectangles, squares, trapezoids, parallelograms, circles, and semicircles. Determine the area of subdivisions and combine to determine the area of the composite plane figure.

8.MG.5b

Subdivide a plane figure into triangles, rectangles, squares, trapezoids, parallelograms, and semicircles. Use the attributes of the subdivisions to determine the perimeter of the composite plane figure.

8.MG.5c

Apply perimeter, circumference, and area formulas to solve contextual problems involving composite plane figures.

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