GEOMETRY
Unit 10 Assignment
Name: ____________________
Directions: SHOW ALL WORK!! Place the answers in the appropriate places.
Interior Design Project
Sally is fixing up the inside of her home. She is completing two small home re-modeling projects.
 For each project, find the indicated area (be sure to show all work!)
1) Sally has a rectangular foyer in her home. She wants to lay hardwood flooring down on all of the area
except for the semi circular area in front of the door. On the semi circular area, she would like to lay ceramic
tile. Hardwood floor costs $3.25 per square foot and ceramic tile costs $2.75 per square foot. Determine the
area and price of each. (use =3.14 and round all answers to 2 decimal places)
Area(hardwood floor)=_________
Cost(hardwood floor)= _________
3 ft
Area(ceramic tile) = _________
Cost(ceramic tile) = _________
10 ft
2) Sally is installing a trapezoidal island countertop in her kitchen. The countertop costs $3.19 per
square foot. Determine the price. Be sure to exclude the burners and sink (see diagram).
10 ft
1.2 ft
3 ft
5 ft
5 ft
1.8 ft
4 ft
Area of shaded region:_______
Cost:_______
Backyard Renovation
George is fixing up his backyard. He is completing two small outdoor projects.
 For each project, find the indicated area (be sure to show all work!)
3) George has a trapezoidal patio. A circular fountain with circumference of 14 ft is located in the corner. He is
repaving the patio. Cement costs $1.75 per square foot. Determine the area and cost. (use =3.14 and round
all answers to 2 decimal places)
22 ft
Area of shaded region:_______
20 ft
16 ft
Cost: ______
4) George wants to lay a special type of cement to form a 2-foot border around his circular swimming pool.
Cement costs $4.19 per square foot. Determine the area to be cemented if the pool has a diameter of 18 ft.
(use =3.14 and round all answers to 2 decimal places)
2 ft
Area: _________
18 ft
Cost:_________