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Finding Area with Fractional Side Lengths - Printable Mathematics Worksheets - Wayground

Finding Area with Fractional Side Lengths

12 questions

5th - 5th Grade

Mathematics

Finding Area with Fractional Side Lengths is a free printable Grade 5 mathematics worksheet with 12 multiple-choice questions and a complete answer key. It focuses on finding the area of rectangles and squares by multiplying length by width when side lengths are fractions or mixed numbers. Students calculate products such as 7/8 × 3/5, 2/5 × 3/5, 2 1/4 × 5/8, and 2/3 × 3/4 in measurement and real-world contexts. The worksheet also asks students to identify the area formula and recognize that mixed numbers must be changed to improper fractions before multiplication. Its repeated multiple-choice practice helps students connect fractional multiplication to square units, evaluate equations, and distinguish accurate products from common calculation errors. Use it for Grade 5 classwork, independent practice, review, or a quick check of students’ understanding of area with fractional side lengths.

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Worksheets

Finding Area with Fractional Side Lengths

Total questions: 12

Name
Class
Date
1.

Carolina planted seeds in a box that measured  78\frac{7}{8}    meter long and  35\frac{3}{5}   meter wide. What is the area of the garden box?

a)


 1013\frac{10}{13}  square meter

b)

 2435\frac{24}{35}  square meter

c)

 2140\frac{21}{40}   square meter

d)

 3550\frac{35}{50}   square meter

2.

Ben draws a rectangle with a width of inch  25\frac{2}{5}   and a length of  35\frac{3}{5}   inch.  What is the area of the rectangle?


a)

 65\frac{6}{5}  square inches

b)

 55\frac{5}{5}  square inches

c)

 625\frac{6}{25}   square inches

d)

 525\frac{5}{25}   square inches

3.
How would you find the AREA of a RECTANGLE?
a)
1/2 (Length x Width)
b)
Length x Width
c)
Length x Length
d)
Width x Width
4.

What is the area of the following rectangle?

a)

36\frac{3}{6}

b)

26\frac{2}{6}

c)

25\frac{2}{5}

d)

35\frac{3}{5}

5.

What is the area of a square with sides of  12\frac{1}{2}  inch sides?

a)

 12\frac{1}{2}  

b)

 24\frac{2}{4}  

c)

 18\frac{1}{8}  

d)

 14\frac{1}{4}  

6.

What is the area of this rectangle?

a)

711\frac{7}{11}

b)

818\frac{8}{18}

c)

918\frac{9}{18}

d)

718\frac{7}{18}

7.

What is the area of the following rectangle?

a)

518\frac{5}{18}

b)

516\frac{5}{16}

c)

510\frac{5}{10}

d)

610\frac{6}{10}

8.

Ben draws a rectangle with a width of  \frac{2}{5}  inch and a length   35\frac{3}{5} of an inch.  What is the area of the rectangle?


a)

 65\frac{6}{5}   square inches

b)

 55\frac{5}{5}   square inches

c)

 625\frac{6}{25}   square inches

d)

 525\frac{5}{25}   square inches

9.

 A rectangle has a width of  2 142\ \frac{1}{4}   inches and a height of  58\frac{5}{8}   inch. Which of the following equations describes the area of the rectangle?


a)

 1032\frac{10}{32}   square inch

b)

 1412\frac{14}{12}  square inches

c)

 3532\frac{35}{32}   square inches

d)

 4532\frac{45}{32}   square inches

10.
Carolina planted seeds in a box that measured 7/8 meter long and  3/5 meter wide. What is the area of the garden box?
a)
10/13 square meter
b)
24/35 square meter
c)
21/40 square meter
d)
34/50 square meter
11.
Dylan bought a rug and it covers 2/3 of the floor’s length and 3/4 of the floor’s width. How much of the floor is covered by the rug?
a)
1/12
b)
1/2
c)
9/8
d)
1 5/12
12.
When multiplying mixed numbers, the math law is to ALWAYS?
a)
Multiply the mixed numbers
b)
Change the mixed numbers to improper fractions
c)
Add the mixed numbers
d)
Subtract the mixed numbers
Answer Key

Finding Area with Fractional Side Lengths

Total questions: 12

1.
c)

 2140\frac{21}{40}   square meter

2.
c)

 625\frac{6}{25}   square inches

3.
b) Length x Width
4.
b)

26\frac{2}{6}

5.
d)

 14\frac{1}{4}  

6.
d)

718\frac{7}{18}

7.
b)

516\frac{5}{16}

8.
c)

 625\frac{6}{25}   square inches

9.
d)

 4532\frac{45}{32}   square inches

10.
c) 21/40 square meter
11.
b) 1/2
12.
b) Change the mixed numbers to improper fractions

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FAQs

What does this worksheet cover?

This worksheet covers finding the area of rectangles and squares when the side lengths are fractions or mixed numbers. Across 12 multiple-choice questions, students apply length × width, multiply fractional measurements such as 7/8 × 3/5, and identify the need to convert mixed numbers to improper fractions before multiplying. These tasks build accuracy with both the area formula and fractional products in square units.

How can I use this worksheet to teach finding area with fractional side lengths?

Introduce the worksheet by modeling length × width with a simple rectangle, then demonstrate how to multiply fractional side lengths and label the result in square units. Before students begin the multiple-choice items, explicitly model converting a mixed number such as 2 1/4 into an improper fraction. Review selected distractors afterward and ask students to explain whether an error came from using the wrong area operation, multiplying incorrectly, or skipping the conversion step.

What mistakes should I watch for when students complete this worksheet?

Watch for students choosing perimeter-style operations instead of multiplying length by width, especially on the direct area-formula item. Students may also multiply numerators or denominators incorrectly, confuse a product with an equivalent-looking fraction, or leave mixed numbers in mixed form instead of converting them to improper fractions. Check that students include square units when interpreting the word problems and recognize that a square’s area uses its side length multiplied by itself.

How do I assign and grade this worksheet?

You can assign Finding Area with Fractional Side Lengths as a printable PDF or as a digital quiz on Wayground. The worksheet includes a complete answer key for checking the 12 multiple-choice questions, and printable student work can be graded by scanning it with the Wayground for Teachers app. The printable format also gives schools an option for reducing screen time.

How can I differentiate this worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing or choose a larger font size so the fractional measurements and multiple-choice options are easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language. These file-level options can support access to the area problems without changing the fractional multiplication skills being assessed.

Where can I find more worksheets like this on Wayground?

Wayground offers a comprehensive collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to help students master essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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