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Actual Area From a Scale Drawing

Written by Adi Ackerman, Head Teacher

"Actual Area From a Scale Drawing" is written for 7th Grade (Ages 12-13), and it covers Common Core 7.G.A.1. 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 361 times
Actual Area From a Scale Drawing - Page 1
Actual Area From a Scale Drawing - Page 2

2 pages in this set


7th grade math worksheet: find actual areas from scale drawings by scaling the sides and finding what 1 square unit stands for. Answer key included. Part of our scale drawings geometry collection. Aligned to Common Core standards.

How do I use this worksheet?

Begin with the scale factor sheets, since the later sheets rely on it. For the area sheets, have students find the actual side lengths before they multiply.

What students will practice

  • Students will find the actual length of each side from a scale.
  • Students will find what 1 square unit on the drawing stands for.
  • Students will find the actual area from the labeled lengths.


Curriculum Links

Common Core State Standards

Geometry · 7th Grade

7.G.A.1

Standard: Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.

View all 7.G.A.1 worksheets →

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Browse the grade, subject, and topic this belongs to.

FAQ

How do I use this scale drawings worksheet?

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Begin with the scale factor sheets, since the later sheets rely on it. For the area sheets, have students find the actual side lengths before they multiply.

What does this worksheet teach?

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Find actual areas from scale drawings by scaling the sides and finding what 1 square unit stands for. The directions on the page read: Find each actual side, what 1 square unit stands for, then the actual area. Show your work in the box. Use the labeled lengths, not a ruler. An answer key is included.

Can I use this scale drawings 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.

What is a scale factor?

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A scale factor is the number every length is multiplied by to make a scale copy. Divide a side of the copy by the matching side of the original to find it. Find the Scale Factor Between Similar Figures asks students to write the factor and circle enlargement or reduction.

How do you find the actual length from a scale drawing?

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Write a proportion with the scale and the drawing length, then solve for the actual length. With a scale of 5 cm = 4 m, a drawing length of 16 cm is 12.8 m. Actual Dimensions From a Floor Plan uses a home plan with this scale.

How do you find the actual area from a scale drawing?

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Find the actual length and width first, then multiply them. Do not just scale the drawing area by the length scale. Actual Area From a Scale Drawing has students find what 1 square unit stands for.

How do you draw a figure at a new scale?

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Multiply each length by the scale factor, then draw the new lengths. Reproduce a Figure at a New Scale uses a grid and scale factors such as 2, 3/2 and 1/2.

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Worksheet Details

Grade7th Grade
SubjectMath
TopicGeometry
Standard7.G.A.1
Pages2 pages
DifficultyMedium

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