p erimeter : t he distance around a figure example what is the perimeter of the figure below? 12...
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PERIMETER: THE DISTANCE AROUND A FIGURE
ExampleWhat is the perimeter of the figure below?12 ft
9 ft
6 ft
6 ft
18 ft
15 ft
12 ft+ 9 ft+ 6 ft+ 6 ft
+ 18 ft+ 15 ft
66 ft
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FORMULA: AN 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.
PERIMETER OF A RECTANGLE: P = 2l + 2wExample: What is the perimeter of the
rectangle below?
9 m
5 m
P = 2l + 2wP = 2(9) + 2(5)P = 18 + 10P = 28
The perimeter is 28 m.
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AREA: THE 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
AREA OF A RECTANGLE: A = lw
5 m
4 m
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ExampleFind 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 inThe area is 140 square inches
19.68 m2
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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.
AREA OF A PARALLELOGRAM: A = bh
height
base
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ExampleFind 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 mThe area is 20.8 square meters
48 ft2
4.3 m
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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 problem2. Plan the solution3. Solve the problem4. Examine the solution
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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 ft2
96 ft2
432 ft2
No
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