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School Store: Plan the Order Space worksheet preview

Worksheet

School Store: Plan the Order Space

Solve school-store scale drawing problems involving actual lengths, areas, packing spaces, and redrawing at a new scale.

Grade 7MathInteractive · Printable

Aligned to7.G.A.1

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What’s included

  • Single worksheet
  • Auto-graded online
  • 1 Common Core standard
  • Printable answer key
  • 14 questions
  • Classroom-ready

Details

Format
Interactive · Printable
Grade
Grade 7
Subject
Math
Question types
Fill in the blank, Multiple choice, Circle the answer, Short answer, Drawing

About this worksheet

What students practice

  • Students use drawing scales to find actual lengths and areas.
  • Students redraw figures at a different scale.
  • Students evaluate space and packaging decisions using scale drawings.

How to use

Have students show calculations beside each question. For the redraw, use the grid units rather than measuring the printed page.

Curriculum

Common Core standard covered

7.G.A.1

Solve problems with scale drawings, finding actual lengths and areas and redrawing a figure at a different scale.

Preview

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Name Date

School Store: Plan the Order Space

Use scale drawings to organize the store and its online orders.

Read the Store Plan

Use the labeled dimensions, not a ruler. For Questions 1–5, the store plan uses a scale of 1 cm = 1.5 m.

8 cm6 cm
1.

What actual length does the 8 cm side represent?   m

2.

What is the actual floor area of the store?   m²

3.
A rectangular pickup zone for online orders measures 2 cm by 3 cm on this plan.

What is the actual area of the pickup zone?   m²

4.
The store will put a 10.5 m shelf along the wall represented by the 8 cm side. How much wall length will remain uncovered?
  • A. The uncovered length will be 1.5 m.
  • B. The uncovered length will be 2.5 m.
  • C. The uncovered length will be 3 m.
  • D. The uncovered length will be 4.5 m.
5.
The store needs an aisle that is actually 1.2 m wide for moving online orders.

How wide should the aisle be on the plan?   cm

Resize the Packing Plan

The two rectangles below form one L-shaped online-order workspace. Each grid interval represents 1 cm on the drawing. The scale is 1 cm = 0.5 m.

Packing6 cm2 cmBins2 cm3 cm
6.

What is the total actual area of the L-shaped workspace?   m²

7.
Floor tape will mark the entire outside boundary of the L-shaped workspace. Do not include the shared edge between the two rectangles.

How much tape is needed?   m

8.
A printer enlarges the workspace drawing to 150% of its original dimensions. The actual workspace stays the same size. Give your answer as a fraction.

On the enlarged drawing, 1 cm represents   m.

9.
Instead of enlarging the drawing, Nia redraws the entire L-shaped workspace at a scale of 1 cm = 1 m.

What area will the workspace occupy on Nia's drawing?   cm²

10.
For Nia's new scale of 1 cm = 1 m, select every correct statement about the redrawn workspace.

The packing rectangle measures 3 cm by 1 cm.The bins rectangle measures 1 cm by 1.5 cm.The overall height of the L-shape is 5 cm.Each drawing length is half its original length.The actual workspace area becomes half as large.

Check New Order Designs

Apply scales to packaging and layout decisions. Explain your reasoning in the final question.

11.
A rectangular thank-you card for online orders is actually 18 cm long and 12 cm wide. Its first drawing uses a scale of 1:6 and measures 3 cm by 2 cm.
Redraw the card at a scale of 1:3, meaning 1 cm on the drawing represents 3 cm on the actual card. Each grid interval below represents 1 cm on your drawing. Draw the longer sides horizontally.
12.
A shipping-label design is drawn at a scale of 1:4. The label's longer side measures 2.75 cm on the drawing.

What is the actual length of that side?   cm

13.
The school store is considering a new online-order room measuring 15 m by 9 m. The whole rectangular plan must fit inside a 10 cm by 8 cm drawing space; it may touch the edges. Which scale allows it to fit?
  • A. Use a scale of 1 cm = 1.25 m.
  • B. Use a scale of 1 cm = 1.5 m.
  • C. Use a scale of 1 cm = 1 m.
  • D. Use a scale of 1 cm = 0.75 m.
14.
An online-order storage area occupies 7 cm² on a drawing with scale 1 cm = 2 m. Omar says, “The actual area is 14 m² because I multiply by 2.” Explain his error and find the actual area.

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