74 Chapter 1 Linear Equations and Inequalities in One Variable 13. George built a rectangular pen for his rabbit such that the length is 7 ft less than twice the width. If the perimeter is 40 ft, what are the dimensions of the pen? In Exercises 19–26, solve for x, and then find the measure of each angle. 19. 20. 21. 22. (3x 3)° 3(5x 1)° (2x 5)° (x 2.5)° (10x 36)° 2(x 15)° (7x 1)° (2x 1)° 14. Antoine wants to put edging in the form of a square around a tree in his front yard. He has enough money to buy 18 ft of edging. Find the dimensions of the square that will use all the edging. 15. The measures of two angles in a triangle are equal.The third angle measures 2 times the sum of the equal angles. Find the measures of the three angles. 16. The smallest angle in a triangle is one-half the size of the largest.The middle angle measures 25 less than the largest. Find the measures of the three angles. 17. Two angles are complementary. One angle is 5 times as large as the other angle. Find the measure of each angle. (See Example 2.) 18. Two angles are supplementary. One angle measures 12 less than 3 times the other. Find the measure of each angle. 11. Raoul would like to build a rectangular dog run in the rear of his backyard, away from the house. The width of the yard is yd, and Raoul wants an area of 100 yd2 for his dog. a. Find the dimensions of the dog run. b. How much fencing would Raoul need to enclose the dog run? House 12 yd Dog run 12 x 1212 12. Joanne wants to plant a flower garden in her backyard in the shape of a trapezoid, adjacent to her house (see the figure). She also wants a front yard garden in the same shape, but with sides one-half as long.What should the dimensions be for each garden if Joanne has only a total of 60 ft of fencing? 2x x x Back House Front x 12 x x 12
miller_intermediate_algebra_4e_ch1_3
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