Parallelogram

A parallelogram-shaped tapestry has a base of 6 feet and a height of 5 feet.

Explain how you would find the area of the tapestry. What is the area?

A parallelogram-shaped tapestry has a base of 6 feet and a height of 5 feet.

Check all that you included in your response.

• The area formula is A = bh.

• Multiply the base times the height: 6 × 5 = 30.

• The area of the tapestry is 30 square feet.

Patty buys a carpet that is made up of 9 parallelograms. Each parallelogram has a base of 12 inches and a height of 20 inches.

The area of each parallelogram is ___ in square inches?

The area of the carpet is____ in square inches?

(a)  

Patty made a name tag in the shape of a parallelogram. Reilly made a rectangular name tag with the same base and height. Explain how the areas of the name tags compare.

Check all that you included in your response.

• A parallelogram can be transformed into a rectangle with the same base and height.

• The shapes will have the same area.

• The formula A = bh can be used to find both areas.

Patty lives in Tennessee, and has figured out she can use a parallelogram to estimate the state’s area.

Estimate the area of Tennessee if the base of the parallelogram is 440 miles and the height is 100 miles. What is the estimated area of Tennessee?

• 540 square miles

• 1,080 square miles

• 22,000 square miles

• 44,000 square miles

Patty has a bulletin board on her wall with the dimensions shown.

How many photos in the shape of a parallelogram will it take to cover the bulletin board if each photo has a base of 6 inches and a height of 4 inches?

(a)  

Patty has a parallelogram that has a base of 3 feet and a height of 5 feet.

The base and height will each be doubled. Will the area also be doubled? Explain how you know.

Check all that you included in your response.

• The original area is 3 × 5 = 15 ft².

• The area of the enlarged parallelogram is 
  (3 × 2) × (5 × 2) = 60 ft².

• The enlarged area is 4 times the original area.

  
  

The top of a table is a parallelogram with a base of 28 cm and a height of 20 cm. Patty wants to cover the table with tiles that have an area of 8 cm² each. Jake wants to use tiles that have an area of 9 cm² each. How many more tiles will Patty need than Jake to cover the table? Explain your answer.

Check all that you included in your response.

• The area of the tabletop is 560 cm².

• Patty’s tiles are 8 cm² and Jake’s tiles are 9 cm².

• Patty will use about 7 more tiles than Jake.