Area of Rectangles with Whole and Fractions

MACC.3.G.1.2

Which rectangle shows 1 equal part of the whole shape shaded?

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The diagram represents the floor of a storage building. The floor is composed of two rectangles. What is the total area of the floor of the storage building?

• 42

• 36

• 21

• 44

The two figures shown are congruent, and one-fourth of each figure is shaded.
Which statement about the shaded parts of these figures is true?

• The area of the shaded part of Figure M is greater than the area of the shaded part of Figure N

• The area of the shaded part of Figrue M is less than the area of the shaded part of Figure N

• The area of the shaded part of Figure M is equal to the area of the shaded part of Figure N

• None of the above

A rectangle is shown.

Liam can find the area of the rectangle by counting each square or by

• multiplying the side lengths, 5 x 7.

• adding the side lengths, 5 + 7

• adding the side lengths, 5 + 7 + 5 + 7

A rectangle is shown.

Liam can find the area of the rectangle by counting each square or by multiplying the side lengths, 5 x 7.

The area of the rectangle is

• 12 square inches

• 24 square inches

• 35 square inches

This question has two parts. Ian draws a rectangle on a grid. Which is the correct equation to use to find the area of the rectangle? Tip: Find the area (length x width) of rectangle 1. Find the area (length x width) of rectangle 2. Add both areas together.

• (5 + 4) x 10 = (5 x 10) x ( 4 x 10)

• (5 + 4) x 10 = (5 x 10) + ( 4 x 10)

• (5 + 4) x 10 =(5 + 10) + ( 4 + 10)

• (5 + 4) x 10 = (5 + 10) x ( 4 + 10)

Which property is shown to find the area of the rectangle?

• Identity Property of Multiplication

• Distributive Property

• Associative Property of Multiplication

• Commutative Property of Multiplication

A drawing of the top of a jewelry box is shown. The side lengths are measured in centimeters (cm).

What is the area of the top of the jewelry box?

Tip: Use Distributive Property by distributing the whole shape into 2 rectangles. Find the area (length x width) for rectangle 1. Find the area (length x width) for rectangle 2. Add (+) both areas together.

• 10 square centimeters

• 27 square centimeters

• 37 square centimeters

• 45 square centimeters

Kelly uses grid paper with 1-inch squares. She shades 26 of the squares with no gaps between the shaded squares. What is the area of the shaded region?

Tip: Area = length x width. Area is also found by counting all the squares inside a shape. It is always written as a square unit.

• 26 inches

• 26 square inches

• 27 inches

• 27 square inches