GEOMETRY Unit 10 Name _____________________ The area of a figure measures the size of the region _______________ by the figure. This is measured in ___________ units (example: m2, ft2, in2) The perimeter of a figure is the distance __________ a figure. It is the ______ of all sides. It is measured in linear units (example: m, ft, in) Tell whether you need to know the perimeter or the area to determine how much of each item to buy Use P for perimeter and A for area. ______1) Amount of fencing around a garden ______2) Amount of paint to paint a room ______3) Amount of carpet for a room ______4) Amount of holiday lights to trim the doors and windows of a house ______5) Amount of ribbon to put around a present ______6) Amount of shingles for a roof FORMULAS: SQUARE (s=side length) P= _____ A= ______ Find the perimeter and area. 5 ft 1. RECTANGLE P=__________ 2. 9m 4m 5 ft P=________ A=_______ A=_______ P=________ A=_______ **The area of a region is the ______of the areas of its ____________________ parts. Example: 1) Find the area and perimeter of a rectangle with base 18 cm and height 3 cm. 2) Find the area of a rectangle with perimeter 48 cm and base 18 cm. 3) Find the height and perimeter of a rectangle with base 28 and area 196 m2. 4) Find the perimeter of a square with area 64 m2. 5) Find area and perimeter. 6) Find area and perimeter 3 15 4 4 3 3 9 5 5 4 4 3 Applications: 7) You are painting a room that is 25 ft x 40 ft. How many containers of paint must you purchase if one container covers 50 ft2? 8) A rectangular pane of glass measuring 12 inches by 18 inches is surrounded by a wooden frame that is 2 inches wide. What is the area of the window including the frame? 9) A garden 40 meters wide and 72 meters long is to be enclosed by a fence. At $8.75 per meter, what will the fencing cost?