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Triangle Area by Subtracting From a Rectangle

Written by Adi Ackerman, Head Teacher

"Triangle Area by Subtracting From a Rectangle" is written for 7th Grade (Ages 12-13), and it covers Common Core 7.G.B.6. A 6th grader who is already steady on geometry can use it too, and an older student can use it as a short review.

Popular with 7th Grade teachers · Downloaded 332 times
Triangle Area by Subtracting From a Rectangle
Triangle Area by Subtracting From a Rectangle

7th grade math worksheet: box each triangle in a grid rectangle and subtract three outer right triangles to find its area. Answer key included. Part of our area of triangles and quadrilaterals geometry collection. Aligned to Common Core standards.

How do I use this worksheet?

Start with the sheets on acute and right triangles, then move to obtuse triangles and trapezoids. Use the mixed sheets as review and the answer keys for quick checking.

What students will practice

  • Students will draw the smallest grid rectangle around a triangle.
  • Students will find the areas of the rectangle and its three outer right triangles.
  • Students will subtract to find the triangle's area in square units.


Curriculum Links

Common Core State Standards

Geometry · 7th Grade

7.G.B.6

Standard: Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.

View all 7.G.B.6 worksheets →

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FAQ

How do I use this area of triangles and quadrilaterals worksheet?

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Start with the sheets on acute and right triangles, then move to obtuse triangles and trapezoids. Use the mixed sheets as review and the answer keys for quick checking.

What does this worksheet teach?

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Box each triangle in a grid rectangle and subtract three outer right triangles to find its area. The directions on the page read: Box each triangle in the smallest grid rectangle. In the table, write the areas of the rectangle and the 3 outer right triangles in any order. Subtract to get the triangle's area in square units. An answer key is included.

Can I use this area of triangles and quadrilaterals worksheet for homeschool or classroom?

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Yes, both. We made it for 7th grade geometry, and it works the same at home or at school. At home, a student can work through it alone and then go over it with you, which shows quickly what is solid and what needs another look. In class it works as independent practice, homework or a warm-up, and you can print one copy or a full set.

How do you find the area of a triangle?

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Multiply the base by the height, then divide by 2. The height meets the base at a right angle, and in an obtuse triangle it can fall outside the triangle.

How do you find the area of a trapezoid?

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Add the two parallel bases, multiply by the height and divide by 2. The Trapezoid Area With Decimal Measures worksheet practices this with decimal lengths.

How do you find a missing base or height?

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Write an equation from the area formula, put in the known measures and solve. The Missing Height of Acute Triangles worksheet gives the area and base and asks for h.

Do these worksheets have answer keys?

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Yes. All 20 worksheets in this group have answer keys.

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Worksheet Details

Grade7th Grade
SubjectMath
TopicGeometry
Standard7.G.B.6
Pages1 page
DifficultyMedium

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