4th Grade Area and Perimeter of Rectangles Test with Point Values (PDF)

4th Grade math test: Area and Perimeter of Rectangles – Maths PDF

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

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

Area perimeter test: questions

Question 1 – Rectangle measures [2 pts]

A rectangle is $11\text{ in}$ long and $4\text{ in}$ wide.

Find its area. (1 point)
Find its perimeter. (1 point)

Question 2 – Square measures [2 pts]

A square has sides of $7\text{ m}$.

Find its area. (1 point)
Find its perimeter. (1 point)

Question 3 – Find the length [2 pts]

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)

Question 4 – Find the width [2 pts]

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

Question 5 – Missing measures table [3 pts]

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)

Question 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 – Rug on the floor [3 pts]

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)

Question 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 area 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.
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.

How to use this area perimeter test

Time yourself: the test is designed for an average student in 45 minutes. Answer the questions you are sure of first, then come back to the longer ones and check your units.

All Grade 4 chapters: Grade 4 math.

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