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Area of triangles

Finding the area of a triangle by seeing it as half of a rectangle: base × height ÷ 2.

Make a sheetDownload PDFThe PDF has this sheet, its answer key and a guide for grown-ups.

How to help

Draw the rectangle around the triangle and find its area. The triangle covers exactly half, so divide by 2: a 3 by 2 rectangle is 6 square units, so the triangle is 3.

Watch for: Forgetting to divide by 2. Using a slanted side as the height. Writing the answer without square units.

At home: Cut a paper rectangle from corner to corner and lay the two triangles on top of each other: each is half the rectangle.

Sample sheet and answer key

Luna's Space Adventure

Grade 4 · Area of triangles · 4.GR.A.4

NameDate

Astronaut Luna is exploring a far-off corner of space. Solve each problem to help Luna's mission go smoothly!

Half a rectangle

Find the rectangle's area in square units. The triangle is half of it.

RectangleTriangle
RectangleTriangle
RectangleTriangle

Base times height, halved

Area = base × height ÷ 2, in square inches.

13 in10 in
Triangle
9 in6 in
Triangle
12 in9 in
Triangle

Base, height and area

Each is base × height ÷ 2 = area. Find the missing number.

7 ×÷ 2 = 7× 10 ÷ 2 = 459 ×÷ 2 = 54× 12 ÷ 2 = 36× 4 ÷ 2 = 2010 ×÷ 2 = 30
Mathness! Math Worksheets · © 2026 Zubin KhavarianCode 4GRA4-SP-FIRST at mathness.app
Sheet

Luna's Space Adventure

Grade 4 · Area of triangles · 4.GR.A.4

Answer key

Astronaut Luna is exploring a far-off corner of space. Solve each problem to help Luna's mission go smoothly!

Half a rectangle

Find the rectangle's area in square units. The triangle is half of it.

Rectangle18Triangle918 ÷ 2
Rectangle16Triangle816 ÷ 2
Rectangle10Triangle510 ÷ 2

Base times height, halved

Area = base × height ÷ 2, in square inches.

13 in10 in
Triangle65130 ÷ 2
9 in6 in
Triangle2754 ÷ 2
12 in9 in
Triangle54108 ÷ 2

Base, height and area

Each is base × height ÷ 2 = area. Find the missing number.

7 ×2÷ 2 = 79× 10 ÷ 2 = 459 ×12÷ 2 = 546× 12 ÷ 2 = 3610× 4 ÷ 2 = 2010 ×6÷ 2 = 30
Mathness! Math Worksheets · © 2026 Zubin KhavarianCode 4GRA4-SP-FIRST at mathness.appAnswer key
Answer key

New problems every time, three levels (gentle, core and stretch), themes to pick from, a second page if you want one. Each sheet comes with an answer key and a one-page guide for grown-ups.

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Maryland 2025 4.GR.A.4 · Find the area of a triangle by relating it to a rectangle.

Also: Virginia SOL 5.MG.2