Area Fractional Sidelengths

What is the area of the following rectangle?

What is the area of the rectangle?

Length= 1/2 in Width= 2/3 in

What is the area of this rectangle?

Dylan bought a rug and it covers 2/3 of the floor’s length and 3/4 of the floor’s width. How much of the floor is covered by the rug?

• 1/12

• 1/2

• 9/8

• 1 5/12

Hmmm... are there other expressions for the part she colored?

• 12/2

• 4 X 2/3

• 2 2/3

• 8/3

What other expressions represent the shaded region?

• 3/4 X 5

• 15/4

• 3/20

• 3 3/4

Where do you see the expression of the diagram?

• There are 2/4 X 9 rows of shaded area.

• 2 X 9 =18. 18 X 4= 72/4

• The squares are each divided in fourths. Each row has 9 shaded fourths. There are two rows of these shaded fourths.

• This is incorrect. There are 2 rows, but there are 9/3 shaded.

Find the area of the shaded rectangle?

What is the area of the shaded region of the rectangle?

• 5 square units

• 8 square units

• 25 square units

• 35 square units