Composite Area Word Problems

Penny's garden has a fountain in the middle that has a base of 5 in. and the height is 9 in. The garden around it has a base of 16 in. and the height is 5 in. What is the area of the garden?

____ sq in

Jane is planting a rectangular rose garden. In the centre of the garden, she puts a smaller rectangular patch of grass. The grass is 2 feet by 2 feet. What is the area of the rose garden?

___sq ft

Sam is putting a patio around his pool. If he wants the patio to have a 10 foot width from the edge of the pool. The pool has dimensions of 8ft by 12 ft, what is the area of his new patio?

___ sq ft

Karen has a garden that is 30 feet by 25 feet. If she plans to put in a fire pit that has a diameter of 12 feet how much yard space will she still have?

(round to the nearest whole foot)

___ sq ft

Juan is putting new tile in his kitchen. The available floor space is a rectangle that is 20 feet by 12 feet. If there is an island in the middle of the floor space (no tile under it) that is 5 feet by 3 feet, exactly how many 1 sq ft tiles does he need?

___ tiles

Sue has a tree house with a floor that is 6 feet by 8 feet. She also has 10 rug pieces that are 1.5 ft by 3 ft. Does she have enough rug pieces to cover the entire floor of her tree house?

• yes

• no

The Trans have a living room that is 25 ft by 25 ft. In one corner is a triangular shaped tile hearth for her fire place that has a height of 5 ft and a base of 5 ft. How much carpet will they need to buy for the living room?

• 600 sq ft

• 625 sq ft

• 637.5 sq ft

• 612.5 sq ft

Aaron is putting new flooring in his bedroom and closet. If the bedroom is 12 ft by 14 ft and his closet is 2ft by 8ft how much flooring is he going to need?

___sq ft

Yukio's family owns a plot of land that is 200 meters by 400 meters. If they purchased another plot right next door that is 125 meters by 75 meters how much land do they own now?

A cruise ship has a large, circular window. It has a diameter of 6 meters. What is the window's area? Round to the nearest hundredth.

• 31.25 m²

• 29.55 m²

• 30.36 m²

• 28.27 m²