Fraction Multiplication Word Problems: Rectangle Area
Connect a fractional side length to the area of a rectangle.
Teaching notes for parents and teachers
How to teach it
Draw a one-foot reference length and partition the rectangle into equal strips. Label each partial area in square feet.
Example to work through together
Use the model below as you explain the example. Have your student point to the quantities as you discuss them.
3/4 × 3 = 9/4 = 2 1/4 square feet
The full outline is 3 feet by 1 foot. Only the shaded part is the field: 3 feet wide and 3/4 of a foot long. Each column contains three quarter-square-foot pieces.
Ask your student
Why is the answer in square feet rather than feet?
If your student needs help
If the student counts lengths instead of area, shade a square unit and compare it with an edge.
Choosing and using the worksheet
These four Grade 5 word problems reuse one rectangle-area context with fresh numbers. The fractional length has a numerator from 1 to 12 and denominator from 2 to 12; the whole-number width is 1 to 9 feet. Lengths can be below, equal to, or above one foot. The set does not include two fractional side lengths, mixed-number inputs, missing sides, or perimeter questions. Use the fraction-by-whole-number calculation sheet first if the arithmetic is the main obstacle.
Make a practice set
Select the worksheet, answer key, or both. When both are selected, the answer key prints after the questions. Keep it separate if you want your student to work independently.
After your student finishes
Check the meaning of the units before marking the calculation. Ask the child to show one square foot and explain how the rectangle is divided into equal strips. If the answer differs from the key, compare equivalent fractions before treating it as an error.
Word problems2 Digit Multiplication Word Problems: Rectangle Area
Multiply two two-digit side lengths to find a rectangular field’s area in square feet.
4 problems · Answer key included
Word problemsAdding and Subtracting Fractions Word Problems With Like Denominators
Combine or remove fractional cable lengths measured using the same one-foot whole.
4 problems · Answer key included
Calculation practiceMultiplying Fractions by Whole Numbers Worksheets
Count repeated groups of equal fraction parts and simplify the product.
6 problems · Answer key included
Word problemsMultiplying Two Fractions Word Problems: Area
Find rectangle area when both side lengths are written as fractions; include lengths greater than one foot.
4 problems · Answer key included
More about multiplication · Grade 5 worksheets
Grade 5 selected skill connection: 5.NF.B.4.b; 5.NF.B.6 (one fractional side and one whole-number side only). See the Common Core standards for this grade. This worksheet does not cover every requirement in the standard.