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Area and perimeter formulas

Using formulas for rectangles: area = length × width and perimeter = 2 × length + 2 × width, including finding a missing side.

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

How to help

For area, multiply the length by the width. For perimeter, add all four sides. For a missing side, divide the area by the side you know.

Watch for: Mixing up area and perimeter. Adding only two sides for the perimeter instead of all four. Writing area in plain units, like 80 m, instead of 80 sq m.

At home: Measure a room or a table in feet. Work out the area for a rug, and the perimeter for a strip of tape around the edge.

Sample sheet and answer key

Luna's Space Adventure

Grade 4 · Area and perimeter formulas · 4.MD.A.3

NameDate

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

Area and perimeter

A = length × width. P = 2 × length + 2 × width.

A rectangle 15 m by 10 m. Area:

Perimeter:

A rectangle 11 m by 9 m. Area:

Perimeter:

A rectangle 4 m by 2 m. Area:

Perimeter:

Find the missing side

Use the area to find the side marked ?

3 ft?
A = 9 sq ft, ? =ft
3 ft?
A = 12 sq ft, ? =ft
7 ft?
A = 14 sq ft, ? =ft

Story time

  1. 1

    Orion's garden is 17 ft long and 10 ft wide. How many feet of fence go all the way around?

    ft
Mathness! Math Worksheets · © 2026 Zubin KhavarianCode 4MDA3-SP-FIRST at mathness.app
Sheet

Luna's Space Adventure

Grade 4 · Area and perimeter formulas · 4.MD.A.3

Answer key

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

Area and perimeter

A = length × width. P = 2 × length + 2 × width.

A rectangle 15 m by 10 m. Area:150 sq m

Perimeter:50 m

A rectangle 11 m by 9 m. Area:99 sq m

Perimeter:40 m

A rectangle 4 m by 2 m. Area:8 sq m

Perimeter:12 m

Find the missing side

Use the area to find the side marked ?

3 ft3 ft
A = 9 sq ft, ? =3ft
3 ft4 ft
A = 12 sq ft, ? =4ft
7 ft2 ft
A = 14 sq ft, ? =2ft

Story time

  1. 1

    Orion's garden is 17 ft long and 10 ft wide. How many feet of fence go all the way around?

    2 × 17 + 2 × 10 = 54
    54ft
Mathness! Math Worksheets · © 2026 Zubin KhavarianCode 4MDA3-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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Standard

Common Core 4.MD.A.3 · Use area and perimeter formulas for rectangles.

Also: Maryland 2025 4.GR.A.3 · Texas TEKS 4.5C · Florida B.E.S.T. MA.3.GR.2.3 · Virginia SOL 4.MG.3

Drill sheets for more practice

More grade 4 sheets: measurement & data