Grade 7 · Math

7th grade Area of shapes made of smaller shapes worksheet

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Area of shapes made of smaller shapes

Grade 7 Math Worksheet - Building Confidence

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Circle the best answer, or write your answer on the line.

Esme's flower bed is an L-shape. A dashed line cuts it into two rectangles, drawn on the grid. The bees picked a side already. What is its area in square meters?
Jun's lawn is an L-shape. A dashed line cuts it into two rectangles, drawn on the grid. A squirrel is inspecting it. What is its area in square meters?
Kira's mural is an L-shape. A dashed line cuts it into two rectangles, drawn on the grid. The paint is still wet. Probably. What is its area in square meters?
Luz's vegetable patch is an L-shape. It sits inside a box, and the missing corner is shaded on the grid. The carrots are lining up. What is its area in square meters?
Milo's paper cut-out is an L-shape. It sits inside a box, and the missing corner is shaded on the grid. The glitter went everywhere. What is its area in square inches?
Noah's lawn is an L-shape. It sits inside a box, and the missing corner is shaded on the grid. The ducks want a closer look. What is its area in square meters?
Ren's sunflower patch is an L-shape. It sits inside a box, and the missing corner is shaded on the grid. The sunflowers face the sun. What is its area in square meters?
Tala's house-shaped name tag is a rectangle with a triangle on top. The triangle is half of the dashed rectangle around it. It says hello. What is its area in square cm?
Ari's quilt patch is a rectangle with a triangle on top. The triangle is half of the dashed rectangle around it. It looks like a very small house. What is its area in square inches?
Esme's mural is a rectangle with a triangle on top. The triangle is half of the dashed rectangle around it. It has a lot of sky. What is its area in square meters?

7th grade Area of shapes made of smaller shapes worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

Area of shapes made of smaller shapes. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

I can find the area of an L-shape, a T-shape or a shape with a hole by cutting it into rectangles or by taking a missing piece away from the box around it.
I can add a triangle to a rectangle (a house shape, a banner with pointed ends) and use the triangle's height, not its slanted side.
I can work back to a missing side or a missing height, and use the area in a real problem: how much paint, mulch or seed.

Standard: 7.G.B.6

Words to know

composite shape: A shape made of smaller shapes joined together, like an L made of two rectangles.

box (bounding rectangle): The smallest rectangle that fits around a shape.

missing corner: The part of the box that the shape does not cover.

height (of a triangle): The straight distance from its base to the top point.

slanted side: A side that leans. It is longer than the height and is not used for area.

square meter (square foot …): The area of a square 1 meter (1 foot …) on each side.

Common mistakes

Your child found the area of the whole box (or whole rectangle) and did not take away the part that is missing. Draw the shape inside its box, shade the missing part and subtract it together.

Your child added the missing part to the big box instead of taking it away.

Your child counted a shared part twice when cutting the shape into rectangles. Cut the shape with one line only, so the pieces never overlap, and add the pieces together.

What to say

Ask: is the missing part inside our shape? Then should it make the area bigger or smaller?

Questions parents ask

What is the most common mistake with area of shapes made of smaller shapes?

Your child found the area of the whole box (or whole rectangle) and did not take away the part that is missing. Draw the shape inside its box, shade the missing part and subtract it together.

Are these 7th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

More grade 7 math

See all grade 7 math

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