Objective 1: Solve for the Unknown Value 1) If the area of a rectangle is given in square feet and its length is given in feet, the width will be in which units? 2) If you substitute values into A bh, the formula for the area of a parallelogram, would it be reasonable to solve for b and get b 4? Explain. Substitute the given values into the geometry formula, and solve for the remaining variable. Be sure to use the correct units in your answer. 3) A lw; If A 36 ft2 when w 4 ft, fi nd l. 4) A bh; If A 56 mm2 when h 7 mm, fi nd b. 5) A 1 2 bh; If A 18 cm2 when b 3 cm, fi nd h. 6) A 1 2 bh; If A 35 yd2 when b 5 yd, fi nd h. 7) P 2l 2w; If P 96 in. when l 31 in., fi nd w. 8) P 2l 2w; If P 76 m when w 15 m, fi nd l. 9) V lwh; If V 3 4 m3 when l 2 m and h 1 2 m, fi nd w. 10) V 1 3 lwh; If V 8 3 ft3 when l 4 ft and w 3 ft, fi nd h. 11) A 1 2 h(b B); If A 19 1 2 ft2 when b 4 ft and B 9 ft, fi nd h. 12) A 1 2 h(b B); If A 17 1 2 cm2 when b 2 cm and B 3 cm, fi nd h. 13) A 1 2 h(b B); If A 90 mm2 when h 10 mm and b 7 mm, fi nd B. 14) A 1 2 h(b B); If A 108 in2 when h 12 in. and B 13 in., fi nd b. Objective 2: Solve Applications Involving Geometry 15) Summarize the Five Steps for Solving Applied Problems. Do the exercises, and check your work. 16) If you are solving for the length of a plot of land, is 140 ft a reasonable answer? Explain. Solve each problem. Use the Five Steps for Solving Applied Problems. 17) Find the height of a parallelogram if its base measures 15 cm and its area is 195 cm2. 18) Find the width of a rectangle if its area is 102 in2 and its length is 17 in. 19) The volume of a rectangular pyramid is 13 1 3 m3. The length of its base is 5 m, and the width is 2 m. What is the height of the pyramid? 20) The volume of a box is 56 ft3. It is 2 1 3 ft high and 4 ft wide. What is the length of the box? 21) A square has a perimeter of 14 in. How long is each side? 22) A square has a perimeter of 10 cm. How long is each side? 23) The Mona Lisa is one of the most famous paintings in the world. It is 77 cm tall and has an area of 4081 cm2. Find its width. 24) A rectangular table has an area of 7 1 2 ft2. Find the length if it is 2 1 2 ft wide. 25) A rectangular fi sh tank holds 8640 in3 of water. Find the length of the tank if it is 15 in. wide and 16 in. high. 26) A rectangular compost bin holds 20,280 in3 of waste. Find the height of the bin if both the length and width of its base are 26 in. 27) A cell phone is 10 1 2 cm long and 1 cm thick. What is the width of the phone if its volume is 63 cm3? 28) A rectangular stack of sticky notes is 3 in. long and 3 in. wide. How tall is the stack if the volume is 18 in3? 29) The perimeter of a table tennis table is 28 ft, and it is 4 ft longer than it is wide. Find the length and width. 4.5 Exercises 338 CHAPTER 4 Basic Geometry Concepts and Algebra www.mhhe.com/messersmith
messersmith_power_prealgebra_1e_ch4_7_10
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