P ERIMETER : T HE DISTANCE AROUND A FIGURE Example What is the perimeter of the figure below? 12 ft 9 ft 6 ft 18 ft 15 ft 12 ft + 9 ft + 6 ft + 6 ft + 18 ft + 15 ft 66 ft
F ORMULA : A N EQUATION THAT SHOWS HOW CERTAIN QUANTITIES ARE RELATED. Some figures have special characteristics. For example, because the opposite sides of a rectangle have the same length, we can use a formula to find its perimeter. P ERIMETER OF A RECTANGLE : P = 2l + 2w Example: What is the perimeter of the rectangle below? 9 m 5 m P = 2l + 2w P = 2(9) + 2(5) P = P = 28 The perimeter is 28 m.
A REA : T HE NUMBER OF SQUARE UNITS NEEDED TO COVER ITS SURFACE. The area of a rectangle can be found by dividing it into 1x1 squares of whatever unit we’re using A REA OF A RECTANGLE : A = lw 5 m 4 m
Example Find the area of the rectangle Find the area of a rectangle with a length of 8.2 meters and a width of 2.4 meters 14 in 10 in The area is 140 square inches m 2
The opposite sides of a parallelogram also have the same length. The area of a parallelogram is closely related to the area of a rectangle. A REA OF A P ARALLELOGRAM : A = bh height base
Example Find the area of the parallelogram Find the area of a parallelogram with a height of 6 feet and a base of 8 feet 5.2 in 4 m The area is 20.8 square meters 48 ft m
Some math problems can be solved by using a formula. Others can be solved by a problem-solving strategy like finding a pattern (section 1) or making a model. No matter the problem, you can always use a four-step plan. 1. Explore the problem 2. Plan the solution 3. Solve the problem 4. Examine the solution
Example Julia wants to paint two rectangular walls of her bedroom. One bedroom wall is 15 feet long and 8 feet high. The other wall is 12 feet long and 8 feet high. She wants to put two coats of paint on the walls. She knows 1 gallon of paint will cover about 350 square feet of surface. Will one gallon of paint be enough? Wall one is 15 by 8 feet. What is the area? Wall two is 12 by 8 feet. What is the area? How much paint is needed to give two coats? Can Julia paint both walls twice? 120 ft 2 96 ft ft 2 No
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