Page 103 - Math Course 1 (Book 2)
P. 103

Polygons




                                                                  Largest Area
                Right Triangle
                Use the Pythagorean Theorem to f nd the length of    Each of the following shapes has a perimeter of
                the hypotenuse.                                    about 88 inches. Which one has the greatest area?

                                                                   A. a rectangle with length of 26 inches and a width
                 2
                     2
                c  = a  + b  2  Pythagorean Theorem                   of 18 inches
                     2
                     = 6  + 6 2  a = 6, b = 6
                                                                   B. a square with side length of 22 inches
                     = 72       Simplify.
                 C =  72        Take the square root of each side.   C. a right triangle with each leg length of 26 inches
                     ≈ 8.49     Use a calculator.                  D. a circle with radius of 14 inches
                P = a + b + c   Perimeter of a triangle.
                    = 6 + 6 + 8.49   Substitution                    Answer
                    = 20.49 feet  Simplify.


                Rectangle
                P = 2ℓ + 2w     Perimeter of a rectangle
                   = 2(8) + 2(3)  ℓ = 8, w = 3
                   = 22 feet    Simplify.


                The only shape for which Terri has enough tape is
                the circle.

                    Answer                   B




                Your Turn!


               Find Perimeter and Area

                 A.  Find the circumference to the nearest whole
                       number.

                 A. 16 m
                 B. 25 m
                 C. 50 m
                 D. 201 m

                  Answer




                 B.  Find the area to the nearest whole number.

                 A. 50 m
                 B. 201 m
                 C. 256 m
                 D. 804 m


                  Answer




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