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Pre-Calculus Homework Solutions 16

# Pre-Calculus Homework Solutions 16 - 24 The new side...

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Unformatted text preview: 24. The new side lengths are 3 and 1 units. The new perimeter is 3 1 1 3 1 1 3 1 1 3 1 1 or 20 units. The perimeter is divided by 2. 25. The length of each side is multiplied by 10, so 10 can be factored out of the sum of the sides. Thus the new perimeter is multiplied by 10 so the perimeter is 12.5(10) 125 m. 26. d ¬ (x2 x1)2 (y2 y1)2 AB ¬ [3 ( 1)]2 (4 1)2 ¬ 42 32 ¬ 25 5 BC ¬ (6 3)2 (0 4)2 ¬ 32 ( 4)2 ¬ 25 5 CD ¬ (2 6)2 ( 3 0)2 ¬ ( 4)2 ( 3)2 ¬ 25 5 AD ¬ [2 ( 1)]2 ( 3 1)2 ¬ 32 ( 4)2 ¬ 25 5 The perimeter is AB BC CD AD 5 5 5 5 or 20 units. 27. d ¬ (x2 x1)2 (y2 y1)2 PQ ¬ [3 ( 2)]2 (3 3)2 ¬ 52 02 ¬ 25 5 QR ¬ (7 3)2 (0 3)2 ¬ 42 ( 3)2 ¬ 25 5 RS ¬ (3 7)2 ( 3 0)2 ¬ ( 4)2 ( 3)2 ¬ 25 5 ST ¬ ( 2 3)2 [ 3 ( 3)]2 ¬ ( 5)2 02 ¬ 25 5 TU ¬ [ 6 ( 2)]2 [0 ( 3)]2 ¬ ( 4)2 32 ¬ 25 5 PU ¬ [ 6 ( 2)]2 (0 3)2 ¬ ( 4)2 ( 3)2 ¬ 25 5 The perimeter is PQ QR RS ST TU PU or 5 5 5 5 5 5 30 units. 28. d ¬ (x2 x1)2 (y2 y1)2 VW ¬ ( 2 3)2 (12 0)2 ¬ ( 5)2 122 ¬ 169 13 WX ¬ [ 10 ( 2)]2 ( 3 12)2 ¬ ( 8)2 ( 15)2 ¬ 289 17 XY ¬ [ 8 ( 10)]2 [ 12 ( 3)]2 ¬ 22 ( 9)2 ¬ 85 YZ ¬ [ 2 ( 8)]2 [ 12 ( 12)]2 ¬ 62 02 ¬ 36 6 Chapter 1 ¬ ( 2 3)2 ( 12 0)2 ¬ ( 5)2 ( 12)2 ¬ 169 13 The perimeter is VW WX XY YZ VZ or 13 17 85 6 13 58.2 units. There are 6 sides and all sides are congruent. All sides are 90 or 15 cm. 6 There are 4 sides and all sides are congruent. All sides are 14 or 3.5 mi. 4 P ¬x 1 x 7 3x 5 31 ¬5x 1 30 ¬5x 6 ¬x x 1 ¬6 1 5 x 7 ¬6 7 13 3x 5 ¬3(6) 5 13 The sides are 13 units, 13 units, and 5 units. P ¬6x 3 8x 3 6x 4 84 ¬20x 4 80 ¬20x 4 ¬x 6x 3 6(4) 3 21 8x 3 8(4) 3 35 6x 4 6(4) 4 28 The sides are 21 m, 35 m, and 28 m. P ¬2 2w 42 ¬2(3n 2) 2(n 1) 42 ¬6n 4 2n 2 42 ¬8n 2 40 ¬8n 5 ¬n 3n 2 ¬3(5) 2 17 n 1 ¬5 1 4 The sides are 4 in., 4 in., 17 in., and 17 in. P ¬2x 1 2x x 2x 41 ¬7x 1 42 ¬7x 6 ¬x 2x 1 ¬2(6) 1 11 2x ¬2(6) 12 The sides are 6 yd, 11 yd, 12 yd, and 12 yd. 52 units; count the units in the figure. VZ 29. 30. 31. 32. 33. 34. 35. 36. 5 squares 8 squares 9 squares 36a. It is a square with side length of 3 units. 36b. In Part a, the rectangle with the greatest number of squares was a square with side of 3 units. So if a rectangle has perimeter of 36 units, a square would have the largest area. The side of this square would be 36 9 units. 4 18 ...
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