Practice Multiplication as Area in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

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Quick Recap

Understanding multiplication as calculating the area of a rectangle: length times width gives the number of unit squares that fit inside. This visual model connects arithmetic to geometry.

A 3×43 \times 4 rectangle has 12 unit squares inside—multiplication counts them.

Showing a random 20 of 50 problems.

Example 1

medium
A rug covers 2424 square feet. If it is 66 ft long, how wide is it?

Example 2

hard
Wallpaper sells in rolls of 3030 ft2^2. A wall is 1212 ft by 99 ft. How many full rolls are needed? Any waste?

Example 3

easy
A rectangle has length 7 cm and width 4 cm. Find its area.

Example 4

medium
A wall has an area of 54 square feet. It is 9 feet tall. How wide is the wall?

Example 5

easy
A rectangle is 88 ft by 22 ft. How many 11-ft square tiles fill it?

Example 6

medium
A floor is 1010 ft by 88 ft. A 44 ft by 33 ft rug sits on it. What floor area is NOT covered?

Example 7

easy
A rectangle is 33 units wide and 44 units tall. How many unit squares fit inside?

Example 8

medium
A tile floor is 8 feet long and 6 feet wide. Each tile is 1 square foot. How many tiles are needed to cover the floor?

Example 9

easy
A rectangle has area 3030 and width 55. What is its length?

Example 10

easy
A 2×62 \times 6 rectangle holds how many unit squares?

Example 11

medium
Using the area model, compute 7×67 \times 6 by splitting 77 into 5+25+2.

Example 12

medium
A floor is 88 ft by 66 ft. Tiles are 22 ft by 22 ft. How many tiles are needed?

Example 13

easy
A 1×91\times9 strip has what area?

Example 14

hard
Compute 23×1623\times16 using the area model: split 23=20+323=20+3 and 16=10+616=10+6. Show the four sub-products and the total.

Example 15

easy
A 55 by 33 rectangle contains how many unit squares?

Example 16

medium
An L-shaped patio consists of a 6×46\times4 rectangle joined to a 3×23\times2 rectangle. What is the total area?

Example 17

easy
A rectangular garden is 5 meters long and 3 meters wide. What is its area? Use A=l×wA = l \times w.

Example 18

easy
Why does a 3×43 \times 4 rectangle hold the same number of squares as a 4×34 \times 3 rectangle?

Example 19

medium
A rectangle's area is 3636 and one side is 99. What is the perimeter?

Example 20

medium
A rectangle is 66 by 55. If you cut it in half along the length, what is the area of one half?
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