Practical Applications of Fractions and Area

This lesson covers various mathematical problems involving rectangles with fractional side lengths. It includes finding unknown side lengths, tiling a floor, calculating TV screen dimensions, and determining bookshelf capacity. The lesson also explores fraction division, grouping fractions, and calculating time to fill a tub with water. Each problem is solved step-by-step, demonstrating the application of mathematical concepts in real-world scenarios.

What is the missing side length of a rectangle if its area is 11 square meters and one side is 3 and 2/3 meters?

• 2 meters

• 5 meters

• 3 meters

• 4 meters

How many square tiles with side lengths of 1 and 1/3 feet are needed to cover a floor measuring 12 feet by 15 feet?

• 100 tiles

• 101 tiles

• 102 tiles

• 103 tiles

Which equation correctly represents the relationship between the width, length, and area of a television screen?

• Area - Length = Width

• Width x Length = Area

• Width + Length = Area

• Area / Width = Length

If a rectangle has an area of 17.5 square inches and a shorter side of 3.5 inches, what is the length of the longer side?

• 4 inches

• 5 inches

• 6 inches

• 7 inches

How many books of length 1.5 inches can fit on a 42-inch long bookshelf?

• 27 books

• 26 books

• 29 books

• 28 books

How many feet of shelf space is available if a bookcase has five 42-inch long bookshelves?

• 18 feet

• 17.5 feet

• 16.5 feet

• 15 feet

What is the result of dividing 5/32 by 25/4?

• 1/20

• 1/25

• 1/32

• 1/40

How many groups of 1 and 2/3 are in 1 and 5/6?

• 1 and 4/10

• 1 and 2/10

• 1 and 1/10

• 1 and 3/10

How many groups of 1 and 2/3 are in 5/6?

• 2/3

• 1/2

• 1

• 3/4

How long does it take to fill a 50-gallon tub if it takes 1 and 1/4 minutes to fill a 3-gallon bucket?

• 19.5 minutes

• 21 minutes

• 20.83 minutes

• 18 minutes