Solving for Parallelograms and Rectangles

The table shows the relationship between the perimeter and area of four squares. Which equation can be used to find A, the area of a square that has a perimeter of P units?

• A = (P ÷ 4) × (P ÷ 4)

• A = (P - 4)

• A = (P + 4) × (P + 4)

• A = P

Tags

CCSS.6.EE.C.9

A rectangular computer screen has an area of A square inches. The width of the computer screen is 7 inches. Which equation represents x, the length of the computer screen in inches?

• 
• x = A + 27

• x = A - 2(7)

• 

Tags

CCSS.HSA.CED.A.4

Mindy wants to cover a rectangular section of her back yard with gravel. The length of the section is 7.5 meters and the width of the section is 6.5 meters. A garden in the rectangular section of her back yard with an area of 25.8 square meters will not be covered with gravel. How much area will Mindy need to consider when purchasing the gravel?

• 22.95 m²

• 48.75 m²

• 23.35 m²

• 2.2 m²

Tom's father is carpeting a rectangular room that has an area of 240 square feet. The width of the room is 15 feet. How long is the room?

• 16 feet

• 225 feet

• 1,200 feet

• 3,600 feet

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

Samuel's family is replacing the tile on their square-shaped family room floor. The room measures 21 feet on each side. How many square feet of tile are needed to cover the family room floor?

• 42 square feet

• 84 square feet

• 168 square feet

• 441 square feet

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

A rectangular cage at the zoo has a length of 20 feet and a width of 15 feet. Which of the following could be used to find A, the area of the cage in square feet?

• 
• A = (20)(15)

• 
• A = 2(20) + 2(15)

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

An Olympic-sized tennis court measures 78 feet by 27 feet when designed for singles play. The width of the court is increased to 36 feet when a double match is played. What is the difference in the area of the court between singles and doubles play?

• 4,914 square feet

• 9,722 square feet

• 702 square feet

• 228 square feet

Renee is laying bricks on her front porch. The figure shows the dimensions of her porch. What is the area of Renee’s front porch?

• 48 m²

• 52 m²

• 60 m²

• 64 m²

Tags

CCSS.3.MD.C.7D

Mr. Farfán wants to replace the entire roof of his house. A drawing of his house is shown. How many square feet of roofing material does Mr. Farfán need to buy?

• 720 square feet

• 1,095 square feet

• 1,200 square feet

• 1,440 square feet

How does the area of Figure 1 compare to the area of Figure 2?

• The area of Figure 1 is one fourth the area of Figure 2.

• The area of Figure 1 is one half the area of Figure 2.

• The area of Figure 1 is the same as the area of Figure 2.

• The area of Figure 1 is twice the area of Figure 2.

Tags

CCSS.7.G.A.1