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CCSS 6.G.1 Worksheets

CCSS 6.G.1 (Common Core, 6th Grade): "Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems." The worksheets below practice this standard. Each one is a free printable PDF with an answer key, comes in multiple versions, and can also be assigned digitally - no login or account needed.

Geometry Solve real-world and mathematical problems involving area, surface area, and volume. 1Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.

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CCSS 6.G.1 Worksheets - Area of Triangles (base and height) worksheet

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Area of Triangles (base and height)

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Use the triangle area formula (base × height ÷ 2) to find area.
Identify which measurements are the base and the matching height in a triangle diagram.
Multiply the base and height and then divide by 2 accurately.
Write the final area using square units.

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CCSS 6.G.1 Worksheets - Finding the Area of Right Triangles with a Grid worksheet

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Finding the Area of Right Triangles with a Grid

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Use the grid to count square units and find the base and height of a right triangle.
Use the area formula for a right triangle (area = 1/2 × base × height).
Make sure the base and height you choose are perpendicular sides of the right triangle.

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CCSS 6.G.1 Worksheets - Finding the Area of Trapezoids (Word Problems) worksheet

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Finding the Area of Trapezoids (Word Problems)

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Use the trapezoid area formula: half the sum of the parallel sides times the height.
Identify the bases and height of a trapezoid from a description.
Solve real-world area problems with whole-number answers.

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CCSS 6.G.1 Worksheets - Finding Missing Side Length of Rectangle with Decimals worksheet

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Finding Missing Side Length of Rectangle with Decimals

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Use the area of a rectangle to figure out a missing side length.
Multiply and divide with decimals to solve for an unknown side.
Keep track of units (like square units vs. units) so the answer makes sense.
Read a rectangle diagram and match each number to the correct side.

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CCSS 6.G.1 Worksheets - Finding Missing Side Length of Right Triangle (Area) worksheet

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Finding Missing Side Length of Right Triangle (Area)

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Use the area formula for a right triangle to find a missing side length.
Solve for the unknown base or height when the area and the other leg are given.

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CCSS 6.G.1 Worksheets - Finding the Area of a Triangle Word Problems worksheet

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Finding the Area of a Triangle Word Problems

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Use the formula for the area of a triangle
Remember to halve the product of base and height
Tell area from perimeter
Work with measurements given to one decimal place

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CCSS 6.G.1 Worksheets - Finding Areas in a Composite Figure worksheet

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Finding Areas in a Composite Figure

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Break a figure into rectangles and triangles
Pick the measurements that belong to one piece of a figure
Find the area of a triangle inside a larger figure
Add the parts to find a total area

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CCSS 6.G.1 Worksheets - Finding the Area of a Parallelogram worksheet

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Finding the Area of a Parallelogram

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Multiply a base by a height to find an area.
Use the height rather than the slant side.
Write an area in square units.

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CCSS 6.G.1 Worksheets - Finding a Missing Measure of a Parallelogram worksheet

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Finding a Missing Measure of a Parallelogram

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Divide an area by a base to find a height.
Divide an area by a height to find a base.
Ignore a measurement that is not needed.

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CCSS 6.G.1 Worksheets - Rearranging a Parallelogram into a Rectangle worksheet

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Rearranging a Parallelogram into a Rectangle

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See that cutting along the height and sliding makes a rectangle.
Give the rectangle its base and height.
Explain why the slant side is not in the formula.

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CCSS 6.G.1 Worksheets - Finding the Area of an L-Shaped Figure worksheet

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Finding the Area of an L-Shaped Figure

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Cut an L-shaped figure into two rectangles.
Work out a length that is not labelled.
Add the areas of the pieces.

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CCSS 6.G.1 Worksheets - Finding the Area of a Trapezoid by Decomposing worksheet

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Finding the Area of a Trapezoid by Decomposing

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Cut a trapezoid into a rectangle and two triangles.
Find the area of each piece and add them.
See where the trapezoid formula comes from.

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