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Question : A rug is to fit in a room so that a border of even width is left on all four sides. If the room is : 2146853

Solve the problem, if possible. Round your answer to the nearest tenth, when appropriate.

21) A rug is to fit in a room so that a border of even width is left on all four sides. If the room is 12 ft by 15 ft and the area of the rug is 108ft^{2}, how wide will the border be?

A) 1.5 ft

B) 3.5 ft

C) 2 ft

D) 2.5 ft

22) Doris has a fish pond 15 ft by 18 ft. She wants to put grass in a strip of uniform width around the pond. She has enough grass seed for 234 ft^{2}. How wide will the strip be?

A) 9 ft

B) 3 ft

C) 1.5 ft

D) 12 ft

23) A parking lot measures 100 ft by 150 ft. A sidewalk of uniform width is to completely surround the lot. If the sidewalk can cover 1016 ft^{2}, how wide will the sidewalk be?

A) 2 ft

B) 2.5 ft

C) 1.5 ft

D) 3 ft

24) A book has pages that are 16 cm by 20 cm. The printed matter on a page of the book must cover 140 cm^{2}. If all margins are to be the same width, how wide should the margins be?

A) 2 cm

B) 9 cm

C) 12 cm

D) 3 cm

Solve the problem. Round your answer to the nearest tenth, when appropriate.

25) The position of an object moving in a straight line is given by s(t) = 2t^{2} - 3t, where s is in meters and t is the time in seconds the object has been in motion. How long will it take the object to move 13 m?

A) 29.9 sec

B) 3.4 sec

C) 3.2 sec

D) 14.0 sec

26) The position of an object moving in a straight line is given by s(t) = t^{2} - 8t, where s is in feet and t is the time in seconds the object has been in motion. How long will it take the object to move 16 ft?

A) 12.8 sec

B) 17.0 sec

C) 9.7 sec

D) 9.5 sec

27) A ball is thrown downward from a window in a tall building. Its position at time t in seconds is given by s(t) = 16t^{2} + 32t, where s is in feet. How long will it take the ball to fall 119 ft?

A) 3.6 sec

B) 2.7 sec

C) 1.7 sec

D) 1.9 sec

28) A toy rocket is shot vertically upward from the ground. Its distance in feet from the ground in t seconds is given by s(t) = -16t^{2} + 158t. At what time or times will the ball be 234 ft from the ground?

A) 153.4 and 162.6 sec

B) 4.9 sec

C) 9.9 sec

D) 1.8 and 8.1 sec

29) The function defined by D(t) = 13t^{2} - 73t gives the distance in feet that a car going approximately 50 mph will skid in t seconds. Find the time it would take for the car to skid 429 ft.

A) 9.2 sec

B) 10.4 sec

C) 10.2 sec

D) 10.6 sec

30) A rock falls from a tower that is 400 feet high. As it is falling, its height is given by the formula h = 400 - 16t^{2}. How many seconds will it take for the rock to hit the ground (h=0)?

A) 10,000 sec

B) 20 sec

C) 19.6 sec

D) 5 sec