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 - Challenge Me

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

Ren's paper banner has a rectangle in the middle and a triangle at each end. It has pointy ends and big plans. What is its area in square cm?
Tala's flower bed has a rectangle in the middle and a triangle at each end. The bees call it the arrow. What is its area in square meters?
Luz's flower bed is a rectangle with a missing corner. Each square meter needs 40 liters of mulch. The mulch pile is enormous. How many liters of mulch does it need?
Noah's garden bed is a rectangle with a triangle on top. Each square meter needs 25 g of plant food. The beans are hungry. How many grams of plant food does it need?
Pia's house-shaped mural is a rectangle with a triangle on top. Each square meter needs 0.2 liters of paint. The roof corner is a tricky one. How many liters of paint does it need?
Ren's quilt patch is a rectangle with a triangle on top. Each square inch needs 12 sequins. It is going to sparkle. How many sequins does it need?
Tala's garden bed is a rectangle with a triangle on top. Its whole area is 16 square meters. The worms need the height. How tall is the triangle in meters?
Zee's mural is a rectangle with a triangle on top. Its whole area is 28.2 square meters. The roof is a surprise. How tall is the triangle in meters?
Ari's paper cut-out is a rectangle with a triangle on top. Its whole area is 14 square inches. The glue stick wants a turn. How tall is the triangle in inches?
Bo's lawn is a rectangle with a triangle on top. Its whole area is 33.75 square meters. A goose guards the point. How tall is the triangle in 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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