Elementary School Math Quiz: Find Area With Fractional Sides

Kevin has a rectangular piece of paper with area $\frac{5}{6}$ square foot. He cuts it into strips that are each $\frac{1}{4}$ foot wide. If the original paper was $\frac{5}{3}$ feet long, how many strips did he make?

Maria is tiling a rectangular garden bed with square tiles. Each tile has side length $\frac{1}{4}$ foot. She uses 6 tiles along the length and 8 tiles along the width to completely cover the bed. What is the area of the garden bed?

A rectangle is $\tfrac{3}{4}$ inch by $\tfrac{2}{4}$ inch. You tile it with unit fraction squares that are $\tfrac{1}{4}$ inch by $\tfrac{1}{4}$ inch, so each tile has area $\tfrac{1}{16}$ square inch. The tiles fill the rectangle exactly. What is the area of the rectangle? (Multiplying side lengths should match the number of tiles times $\tfrac{1}{16}$.)

A rectangle is $\tfrac{3}{4}$ meter by $\tfrac{3}{4}$ meter. You tile it with unit fraction squares that are $\tfrac{1}{4}$ meter by $\tfrac{1}{4}$ meter. The tiling makes 3 squares along each side. Which value is the correct area in square meters (and matches $\tfrac{3}{4}\times\tfrac{3}{4}$)?

A small garden bed is a rectangle that is $\tfrac{2}{3}$ meter long and $\tfrac{1}{2}$ meter wide. You tile it with unit fraction squares that are $\tfrac{1}{3}$ meter by $\tfrac{1}{2}$ meter. The tiling shows 2 squares along the length and 1 square along the width. Multiplying the side lengths should give the same area as the tiling. What is the area of the garden bed?

A rectangular baking pan is $\tfrac{1}{2}$ foot by $\tfrac{3}{4}$ foot. You partition it into unit fraction squares that are $\tfrac{1}{2}$ foot by $\tfrac{1}{4}$ foot. The partition shows 1 square along one side and 3 squares along the other side, for $1\times3$ small squares. Which area matches both the tiling and $\tfrac{1}{2}\times\tfrac{3}{4}$?

A rectangle is $\tfrac{2}{3}$ inch by $\tfrac{2}{3}$ inch. You tile it with unit fraction squares that are $\tfrac{1}{3}$ inch by $\tfrac{1}{3}$ inch. The tiling shows 2 squares along each side. What is the area of the rectangle?

A rectangular photo is $\tfrac{2}{3}$ inch by $\tfrac{2}{3}$ inch. Imagine tiling it with unit fraction squares that are $\tfrac{1}{3}$ inch by $\tfrac{1}{3}$ inch. Counting the squares measures area in square inches, and multiplying the side lengths gives the same area as tiling. What is the area of the photo?

A rectangular placemat is $\tfrac{3}{4}$ foot long and $\tfrac{1}{2}$ foot wide. You can tile it with unit fraction squares that are $\tfrac{1}{4}$ foot by $\tfrac{1}{2}$ foot to measure area in square feet. Multiplying the side lengths gives the same area as counting the tiles. What is the area of the placemat?

A craft paper rectangle is $\tfrac{3}{4}$ inch long and $\tfrac{3}{4}$ inch wide. You can tile it with unit fraction squares that are $\tfrac{1}{4}$ inch by $\tfrac{1}{4}$ inch to measure area in square inches. Multiplying the side lengths gives the same area as counting those tiles. What is the area of the paper rectangle?

A rectangle is $\tfrac{3}{4}$ yard by $\tfrac{3}{4}$ yard. You tile it with unit fraction squares that are $\tfrac{1}{4}$ yard by $\tfrac{1}{4}$ yard, so each tile has area $\tfrac{1}{16}$ square yard. The tiles exactly cover the rectangle. What is the area of the rectangle? (Multiplying $\tfrac{3}{4}\times\tfrac{3}{4}$ should match the tiled area.)

A rectangle is $\tfrac{3}{4}$ meter by $\tfrac{1}{2}$ meter. It is tiled with unit fraction squares that are $\tfrac{1}{4}$ meter by $\tfrac{1}{2}$ meter, so each tile has area $\tfrac{1}{8}$ square meter. The tiling fits exactly. What is the area of the rectangle? (Multiplying the side lengths should match the total area from the tiles.)

A rectangle is $\tfrac{2}{4}$ meter long and $\tfrac{2}{3}$ meter wide. You tile it with unit fraction squares that are $\tfrac{1}{4}$ meter by $\tfrac{1}{3}$ meter, so each tile has area $\tfrac{1}{12}$ square meter. The tiling has no gaps or overlaps. What is the area of the rectangle? (Tiling and multiplying $\tfrac{2}{4}\times\tfrac{2}{3}$ should match.)

Use the diagram shown to answer the question. The shaded rectangle has been tiled with unit squares. What is the area of the shaded rectangle?

A rectangle is tiled with unit squares of side length $\frac{1}{10}$ inch. There are 15 squares along the length and 8 squares along the width. Which expression correctly represents both the area calculation by counting squares and by multiplying side lengths?

A rectangle is $\tfrac{2}{3}$ yard by $\tfrac{3}{4}$ yard. It is partitioned into unit fraction squares that are $\tfrac{1}{3}$ yard by $\tfrac{1}{4}$ yard, making 2 squares by 3 squares. Which statement is the incorrect claim about the area, based on measuring in square units?

A rectangular index card is $\tfrac{2}{3}$ inch long and $\tfrac{1}{4}$ inch wide. You can tile it with unit fraction squares that are $\tfrac{1}{3}$ inch by $\tfrac{1}{4}$ inch to measure area in square inches. Multiplying the side lengths gives the same area as tiling. What is the area of the index card?

A rectangular rug is $\tfrac{3}{4}$ meter long and $\tfrac{2}{3}$ meter wide. If you tile it using unit fraction squares that are $\tfrac{1}{4}$ meter by $\tfrac{1}{3}$ meter, you can count tiles to measure area in square meters. Multiplying the side lengths gives the same area as tiling. What is the area of the rug?

A rectangular science notebook cover is $\tfrac{1}{2}$ foot by $\tfrac{2}{3}$ foot. Imagine partitioning it into unit fraction squares that are $\tfrac{1}{6}$ foot by $\tfrac{1}{6}$ foot so the area is measured in square feet. Multiplying the side lengths gives the same area as counting the tiles. What is the area of the cover?

A rectangular sandbox is $\tfrac{2}{3}$ yard long and $\tfrac{1}{2}$ yard wide. If you tile it with unit fraction squares that are $\tfrac{1}{3}$ yard by $\tfrac{1}{2}$ yard, you can count the tiles to measure area in square yards. Multiplying the side lengths gives the same area as tiling. What is the area of the sandbox?