Maximizing Area Problems

Each side of a square piece of construction paper is 7 inches long. What is the piece of paper's area?

• 49in²

• 49in

• 14in²

• 28in

A square family room has sides that are 10 meters long. What is the family room's area?

• 100m²

• 40m²

• 20m²

• 40m

Alicia's garden is 50 square feet. Inside of her garden she plants a section of tomatoes that is 3 feet by 4 feet. How much more space does she have left in her garden to plant other crops?

• 62 square feet

• 38 square feet

• 12 square feet

• 43 square feet

The Pacers' basketball court is 94 feet by 50 feet. How much space do the players have to play their game?

• 4,100 square feet

• 288 square feet

• 144 square feet

• 4,700 square feet

Ian is building a rectangular sandbox. The perimeter will be 12 feet. He wants the sandbox to have the greatest possible area. What could be Ian's sandbox?

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Which has the greater area: a square with a side that measures 7 meters, or a 6-by-8 meter rectangle?

• the square

• the rectangle

Isaac is painting a wall that is 9 feet by 18 feet. So far, he has painted a part of the wall that is a 4 feet by 7 feet rectangle. What is the area of the part of the wall that Isaac has left to paint?

• 190 square feet

• 134 square feet

• 22 square feet

• 151 square feet

Lea wants to put a new layer of soil on her 14 feet by 15 feet garden. She finds the area of her garden so she knows how much soil to buy. If one bag of soil covers 20 square feet, how many bags of soil will Lea need?

• 210 bags

• 2.9 bags

• 11 bags

• 42 bags

Mai wants to tile the floor of her kitchen. Each tile has an area of 1 square foot. The floor of her kitchen is 11 feet by 16 feet. How many tiles does she need?