5th Grade Area of Rectangles with Fractional Sides Worksheets with Answers (Free PDF)

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This 5th grade area with fractions worksheet covers area of rectangles with fractional sides (Common Core 5.NF.B.4b), with a free PDF to print.

Key takeaway: This worksheet helps fifth grade students practice finding the area of rectangles with fractional sides by tiling and by multiplying.

Topic: Area of Rectangles with Fractional Sides (5th grade)
Content: 20 worksheet problems, from easy to challenging
Standards: 5.NF.B.4b
Answers: On a separate page, so you can try every worksheet problem first
Format: Free printable PDF, US Letter, black and white

This worksheet helps fifth grade students practice finding the area of rectangles with fractional sides by tiling and by multiplying. Also, pictures, formulas, and real objects such as frames, rugs, and posters show where these areas appear.

There are 20 problems. The first three use unit squares cut into tiles, and the next seven multiply fractions and mixed numbers. Then, the middle group compares areas, finds the area of squares, and adds a perimeter. Also, the last six are word problems about a frame, a poster, a rug, a bulletin board, two garden beds, and decals. Then, allow about 35 minutes.

These 20 problems practice finding the area of rectangles with fractional side lengths, as described in standard 5.NF.B.4b. Early problems use unit squares cut into tiles. Later problems multiply fractions and mixed numbers directly.

The last six problems are word problems about frames, posters, rugs, bulletin boards, gardens, and decals. Write each area with square units.

Grade 5 · Common Core State Standards: 5.NF.B.4b

5th grade area with fractions worksheet: worksheet problems 1 to 10

1 – Size of one tile

First, a unit square is cut into 3 equal columns and 2 equal rows. What fraction of the unit square is one tile?

A unit square cut into 6 tiles.

2 – Fourths by fourths

Next, a unit square is cut into 4 equal columns and 4 equal rows. How many tiles are there? What is the area of one tile?

Sixteen equal tiles.

3 – Count the tiles

Then, the shaded rectangle is drawn on a unit square cut into tiles. Find its area.

The unit square has 6 columns and 4 rows.

4 – Half by fifth

Now, find the area of a rectangle that is $\frac{1}{2}$ foot long and $\frac{1}{5}$ foot wide.

5 – Thirds and sevenths

Also, find the area of a rectangle that is $\frac{2}{3}$ foot long and $\frac{3}{7}$ foot wide.

6 – Rectangle in inches

First, find the area of a rectangle that is $\frac{3}{4}$ inch long and $\frac{5}{6}$ inch wide.

7 – Yards that simplify

Next, find the area of a rectangle that is $\frac{4}{5}$ yard long and $\frac{5}{8}$ yard wide.

8 – Tiles across two squares

Then, a rectangle is $1\frac{1}{4}$ inches long and $\frac{2}{3}$ inch wide. The model uses two unit squares. Find the area.

Each unit square is cut into 4 columns and 3 rows.

Worksheet problem 9 and after

9 – Mixed number by fraction

Now, find the area of a rectangle that is $2\frac{1}{2}$ yards long and $\frac{3}{5}$ yard wide.

10 – Two mixed numbers

Also, find the area of a rectangle that is $1\frac{3}{4}$ feet long and $1\frac{1}{3}$ feet wide.

Worksheet problems 11 and up

11 – Compare two areas

Rectangle A is $\frac{3}{4}$ foot by $\frac{4}{5}$ foot. Rectangle B is $\frac{2}{3}$ foot by $\frac{7}{8}$ foot. Which rectangle has the greater area?

12 – Area of a square

Next, a square tile has sides of length $\frac{2}{5}$ foot. Find its area.

13 – Square with a mixed side

Then, a square sticker has sides of length $1\frac{1}{2}$ inches. Find its area.

14 – Area and perimeter

Now, a rectangle is $\frac{3}{4}$ foot long and $\frac{1}{2}$ foot wide. Find its area and its perimeter.

15 – Picture frame

Maya’s picture frame is $\frac{7}{8}$ foot long and $\frac{2}{3}$ foot wide. What area of wall does the frame cover?

Maya’s picture frame.

16 – Poster paint

Jamal paints a rectangular poster that is $2\frac{1}{2}$ feet long and $1\frac{1}{2}$ feet wide. Paint costs $4 for each square foot. What is the area of the poster, and what does the paint cost?

17 – Rug for the den

Sofia buys a rug that is $2\frac{1}{3}$ yards long and $1\frac{1}{2}$ yards wide. Find the area of the rug.

18 – Bulletin board

Then, the school bulletin board is $4\frac{1}{2}$ feet long and $2\frac{2}{3}$ feet wide. Ethan covers $\frac{3}{4}$ of the board with blue paper. How many square feet are covered with blue paper?

Worksheet problem 19 and after

19 – Two garden beds

Priya plants two beds. Bed A is $\frac{3}{4}$ yard by $\frac{1}{2}$ yard. Bed B is $\frac{5}{6}$ yard by $\frac{3}{4}$ yard. What is the total area of the two beds?

20 – Window decals

Diego makes window decals for the school store. Each decal is $1\frac{2}{3}$ feet long and $\frac{3}{4}$ foot wide. What is the area of one decal? What is the total area of 6 decals?

Key facts behind this 5th grade area with fractions worksheet

Key facts

A unit square has area 1 square unit.
Cutting a unit square into equal tiles gives tiles with a unit fraction area.
Area = length times width, even when the sides are fractions.
Counting tiles and multiplying the side lengths give the same area.
Always write square units, such as square feet, in the answer.

Common mistakes with this 5th grade area with fractions worksheet

Students find a tile’s fraction by counting only one row. Instead, multiply the number of columns by the number of rows to get the total tiles.
Students add the sides when they find the area. Also, area multiplies length and width. Slow down at that step and check it twice.
Students forget to use square units. Instead, a rectangle measured in yards has an area in square yards.
Students use the area when a question asks for a perimeter. Also, add all four sides for the distance around.

Tips before you start the worksheet problems

Rename each mixed number as an improper fraction before multiplying. Finally, this avoids partial product mistakes. Repeat this habit on every problem for the best results.
Simplify before you multiply when a numerator and a denominator share a factor. Also, smaller numbers mean fewer slips.
Teachers can ask students to draw the model for one problem and compare it with the product. Repeat this habit on every problem for the best results.

Download the 5th grade area with fractions worksheet as a PDF with the button below and keep it with your notes.

5th grade area with fractions worksheet: frequently asked questions

How do you compare the areas of two rectangles with fractional sides?

Find each area, then compare the fractions using a common denominator. If one area is two thirds and the other is five eighths, rename them in twenty-fourths and compare. The larger numerator has the greater area.

How do you find the area of a square with a fractional side?

Multiply the side by itself. A square with sides of one third foot has an area of one ninth square foot. The area of a small square is smaller than its side length. A quick check like this takes only a few seconds and prevents most errors.

How do you find what part of a surface a cover takes up?

Find the area of the whole surface, then multiply by the fraction covered. If a board has an area of 8 square feet and one half is covered, then 4 square feet are covered.

All Grade 5 chapters: Grade 5 math.

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