5th Grade Area of Rectangles with Fractional Sides Test with Point Values (PDF)

A unit square is cut into 5 equal columns and 3 equal rows. The shaded rectangle is 3 tiles wide and 2 tiles tall.

1. What is the area of one tile? (1 point)
2. What is the area of the shaded rectangle? (1 point)

1. Find the area of a rectangle that is \(\frac{3}{5}\) foot long and \(\frac{1}{4}\) foot wide. (1 point)
2. Find the area of a rectangle that is \(\frac{7}{8}\) yard long and \(\frac{2}{3}\) yard wide. (1 point)

1. Find the area of a rectangle that is \(2\frac{1}{2}\) feet long and \(\frac{1}{3}\) foot wide. (1 point)
2. Find the area of a rectangle that is \(1\frac{1}{2}\) inches long and \(1\frac{3}{4}\) inches wide. (1 point)

A rectangle is \(1\frac{1}{3}\) feet long and \(\frac{3}{4}\) foot wide. It is shown on two unit squares that are each 1 foot by 1 foot.

1. What is the area of one small tile? (1 point)
2. How many tiles does the rectangle cover? (1 point)
3. What is the area of the rectangle? (1 point)

A square tile has sides of length \(\frac{5}{6}\) foot.

1. Find the area of the tile. (1 point)
2. Is the area of the tile greater than or less than its side length? Explain. (1 point)

A poster board is \(1\frac{3}{4}\) feet wide and \(2\frac{1}{2}\) feet long.

1. Find the area of the poster board. (1 point)
2. A second poster is 2 feet by 2 feet. Which poster has the greater area? (1 point)

Mei’s closet floor is \(2\frac{1}{4}\) feet by \(1\frac{1}{3}\) feet. Carpet costs $6 for each square foot.

1. Find the area of the closet floor. (1 point)
2. Find the cost of carpet to cover the floor. (1 point)

A rectangle is \(\frac{2}{3}\) yard long and \(\frac{1}{4}\) yard wide.

1. Find the area. (1 point)
2. Find the perimeter. (1 point)

Priya makes a banner that is \(2\frac{2}{3}\) feet long and \(\frac{3}{4}\) foot wide. She paints \(\frac{5}{8}\) of the banner red.

1. Find the area of the whole banner. (1 point)
2. Find the area that is painted red. (1 point)
3. Find the area that is not red. (1 point)