Algebra I 4.9 Answer Key PDF

Problems Solve.. ATectangle is three times as long as it is wide. If its length and width are hoth decreased by 2 cm, its area is decreased...

Problems Solve.. ATectangle is three times as long as it is wide. If its length and width are hoth decreased by 2 cm, its area is decreased by 36 cm. Find its original dimensions. Make a sketch as in Oral Exercise 2. 15 cm by 5 cm. A rectangle is twice as long as it is wide. If both its dimensions are in- creased by 4 m, its area is increased by 88 m. Make a sketch as in Oral Exercise 1. Find the dimensions of the original rectangle. 12 m by 6 m 3. A rectangular swimming pool is three times as long as it is wide and is surrounded by a deck 2.5 m wide. Find the dimensions of the area of the deck is 265 m. 36 pool if the m by 12 m 4. A poster is 25 cm taller than it is wide. It is mounted on a piece of card- board so that there is a 5 cm border on all sides. If the area of the border alone is 1350 cm, what are the dimensions of the 50 cm 75 cm poster? by 5. A brick patio is twice as long as it is wide. It is bordered on all sides by a garden 1.5 m wide. Find the dimensions of the patio if the area of the gar- den is 54 m. 10 m by 5 m 6. A house has two rooms of equal area. One room is square and the other TOom is a rectangle 4 ft and 5 ft the area narrower longer than the square one. Find of each room. 400 ft B 7. Asmall city park p consists of a rectangular lawn surrounded on all sides by a330 m border of flowers 2.5 m wide. Find the area of the lawn if the nure park is 5 m longer than it is wide. 924 m Polynomial=  8. A corner lot that originally was square lost 185 m° of area when when one of the adjacent streets was widened by 3 m and the other was widened hu. Find the new dimensions of the lot. (Hint: Let x = the length of m. 20 of the original square lot.) 22 m by m 9. The arca of a circle of radius r is given by the formula A =r 2 Ulse fact to find a formula for the shaded area in the figure below. A =2T In Problems 10 and 11, refer to Problem 9. Useas an approximation for m. 10. Find the radius r if the width w of the shaded region is 2 cm and its area is 76 cms. 13 cm 11. A circular pool is surrounded brick walkway 3 m wide. by a Find the ra- dius of the pool if the area of the walk- Exs. 9-11 way is 198 m*. 9 m C 12. A running track 4 m wide goes around a soccer as it is wide. At field that is twice as each end of the inner radius r. Find a formula soccer field the track is long for the area of a semi-circle with the track in terms of r andA r.=8T 167- Soccer field 13. a. Supposethat you lem 12. If plan to run once nce will you stay 0.5 around the track you run? (Hint: The m from the inner desc scribed in Prob- described will be in edge of Proo- b. Suppose terms of T that a and r.) circumference (2 mr +8r + of a circle the track, how a is 2Tr. much friend farther does stays 0.5 m m)m Your a inswer your friend from the run than outer edge of the track How you do? 67 m the trac Mixed Review Exe Simnta