30) The perimeter of a rectangular fi eld is 58 yd, and its width is 3 yd shorter than its length. Find the length and width. 31) Miyuki wants to put a rectangular safety fence around the backyard pool. She will need 92 ft of fencing, and the width will be 6 ft less than the length. What are the dimensions of the fence? 32) A shopping mall will build a rectangular children’s play area that will be enclosed by 180 ft of fence. If it will be 14 ft longer than it is wide, fi nd the dimensions of the play area. 33) A contractor used 510 ft of fencing to enclose a rectangular construction site. Find the dimensions of the site if the length is twice the width. 34) Raheem uses 156 in. of wood to build a rectangular frame. Find the dimensions of the frame if the width is half the length. 35) A college pennant is in the shape of a triangle and has a perimeter of 46 in. The two longer sides have the same length, while the third side is 8 in. shorter than a longer side. Find the lengths of the sides of the pennant. State 36) A triangular piece of fabric has a perimeter of 80 cm. The length of one side is 29 cm. Of the two remaining sides, one is 11 cm longer than the other. How long is each unknown side? 37) The measures of the angles in a triangle add to what number? 38) If a triangle has an angle with a measure of 105, can another of its angles have a measure of 98? Explain. Find the missing angle measures. Use the Five Steps for Solving Applied Problems. 39) B 40) x° 41° 114° A C S x° 39° 77° T R 41) x° 81° (2x 1 15)8 L M N 42) x° (7x 1 2)8 26° E D F 43) x° x° U V 44) 44° W Q 112° x° x° P R 45) B x° (x 2 40)8 A C 46) J K x° L (x 2 50)8 47) G x° H 3( ) F 1 x 8 1 x 8 6( ) 48) x° Z Y W 1 x 2 8 8 2( ) 2 x 1 6 8 3( ) R1) Why is it important to be able to check your answers by hand? Did any of your solutions automatically seem unreasonable before checking it? Why? R2) How could you use the procedure for solving applied problems in other classes or at your job? www.mhhe.com/messersmith SECTION 4.5 Solving Geometry Applications Using Algebra 339
messersmith_power_prealgebra_1e_ch4_7_10
To see the actual publication please follow the link above