4th Grade Area and Perimeter of Rectangles Test with Answer Key (Free PDF)

4th grade area and perimeter test – Maths PDF

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This 4th grade area and perimeter test covers area and perimeter of rectangles (Common Core 4.MD.A.3), with a free PDF to print.

Key takeaway: This test helps fourth grade students show that they can find area, perimeter, and missing sides of rectangles and squares.

Topic: Area and Perimeter of Rectangles (4th grade)
Content: 8 questions with point values, about 45 minutes
Standards: 4.MD.A.3
Answers: On a separate page, so you can try every worksheet problem first
Format: Free printable PDF, US Letter, black and white

This test helps fourth grade students show that they can find area, perimeter, and missing sides of rectangles and squares. It is worth 20 points and lasts 45 minutes, so students have time to draw, calculate, and check.

The eight questions begin with area and perimeter of a rectangle and a square, then ask for a missing length and a missing width. Also, one question is a table with several unknowns. Then, the last three questions are three part word problems about a backyard fence, a rug on a floor, and two rectangles with the same perimeter. Also, show formulas and units for full credit.

This test has 8 questions worth 20 points. Allow 45 minutes. Show your work and write the correct unit with every answer. Remember that area uses square units. No calculator is needed.

Time and points

About this test

Grade: Grade 4
Chapter: Area and Perimeter of Rectangles
Standards: 4.MD.A.3
Time: 45 minutes
Total: 20 points

4th grade area and perimeter test: questions

1 – Rectangle measures [2 pts]

First, a rectangle is $11\text{ in}$ long and $4\text{ in}$ wide.

Find its area. (1 point)
Also, find its perimeter. (1 point)

2 – Square measures [2 pts]

Next, a square has sides of $7\text{ m}$.

Also, find its area. (1 point)
Also, find its perimeter. (1 point)

3 – Find the length [2 pts]

Then, the rectangle has an area of $63\text{ sq ft}$.

The area and one side are known.

Find the length of the rectangle. (2 points)

4 – Find the width [2 pts]

Now, a rectangle has a perimeter of $38\text{ in}$ and a length of $11\text{ in}$. Find its width. (2 points)

5 – Missing measures table [3 pts]

Also, complete the table. Each rectangle is described by whole numbers of feet.

	Length	Width	Area	Perimeter
A	8 ft	5 ft	(a)	(b)
B	9 ft	(c)	54 sq ft
C	(d)	4 ft		24 ft

Find (a), (b), (c) and (d). (3 points: 1 for A, 1 for B, 1 for C)

6 – Backyard fence [3 pts]

Liam’s backyard is shaped like the rectangle below. Fence costs $4 per foot.

Backyard.

How many feet of fence go around the whole yard? (1 point)
How much does the fence cost? (2 points)

Question 7 and after

7 – Rug on the floor [3 pts]

Next, a rectangular rug that is $9\text{ ft}$ by $6\text{ ft}$ lies on the floor of a room that is $12\text{ ft}$ by $10\text{ ft}$.

Room with a rug.

Find the area of the room. (1 point)
Find the area of the rug. (1 point)
How many square feet of floor are not covered by the rug? (1 point)

8 – Same perimeter [3 pts]

Rectangle A is 7 ft by 3 ft. Rectangle B is 5 ft by 5 ft.

Two rectangles.

Show that both rectangles have the same perimeter. (1 point)
Find the area of each rectangle. (1 point)
Which rectangle has the greater area, and by how many square feet? (1 point)

Key facts behind this 4th grade area and perimeter test

Key facts

Area of a rectangle = length × width, measured in square units.
Perimeter of a rectangle = 2 × length + 2 × width, measured in plain units.
A square is a rectangle whose four sides are equal.
Then, if you know the area and one side, divide to find the other side.
Area tells how much to cover; perimeter tells how far around.

Common mistakes with this 4th grade area and perimeter test

Students find the area of only the rug when a question asks about the floor left uncovered. Find both areas, then subtract.
Students fill a table by guessing. Also, use area equals length times width for each row, and use perimeter to find a missing side.
Students give a cost without the fence length. Find the perimeter first, then multiply by the price per foot.
Students decide two rectangles are identical because their perimeters match. The areas can differ, so compute both. Slow down at that step and check it twice.

Test-taking strategy

Draw and label each rectangle before you calculate. Then, even a quick sketch shows which number is the length and which is the width.
Write the formula first, then substitute numbers. If a slip happens, a teacher can still give credit for the correct formula.
Parents can help the evening before by asking the child to explain the difference between area and perimeter with an example from home.

Download the 4th grade area and perimeter test as a PDF with the button below and keep it with your notes.

4th grade area and perimeter test: frequently asked questions

What formulas should students remember for a rectangle test?

Area is length times width, and perimeter is two times length plus two times width. For a square, multiply a side by itself for area and by 4 for perimeter. Missing side problems use division for area and subtraction for perimeter.

Do I need to write square units on the test?

Yes. Area answers need square units such as square feet, and perimeter answers need plain units such as feet. Teachers often take off a point for a missing or wrong unit, so check the labels before you turn in your paper.

How can I check a perimeter answer quickly?

Estimate it a different way, such as doubling the length and the width. A rectangle 9 inches by 5 inches has two sides of 9 and two of 5, so the perimeter should be about 28 inches. A very different answer means a slip.

All Grade 4 chapters: Grade 4 math.

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