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IM 6.4.13 Practice: Rectangles with Fractional Side Lengths

Find the unknown side length of the rectangle if its area is 11 m². Show your reasoning.

Check your answer by multiplying it by the given side length (). Is the resulting product 11? If not, revise your previous work.

A worker is tiling the floor of a rectangular room that is 12 feet by 15 feet. The tiles are square with side lengths  feet. How many tiles are needed to cover the entire floor? Show your reasoning in the applet below.

A television screen has length inches, width  inches, and area 462 square inches. Select all the equations that represent the relationship of the side lengths and area of the television.

Select all that apply
  • A
  • B
  • C
  • D
  • E
Check my answer (3)

The area of a rectangle is 17 ½ in² and its shorter side is 3 ½ in. Draw a diagram that shows this information. What is the length of the longer side?

A bookshelf is 42 inches long.

How many books of length  inches will fit on the bookshelf? Explain your reasoning.

A bookcase has 5 of these bookshelves. How many feet of shelf space is there? Explain your reasoning.

Find the value of . Show your reasoning.

How many groups of  are in each of these quantities?

It takes  minutes to fill a 3-gallon bucket of water with a hose. At this rate, how long does it take to fill a 50-gallon tub? If you get stuck, consider using the table below.