Question : Two cars leave an intersection. One car travels north; the other east. When the car traveling north had gone 18 : 2146852
Solve the problem.
11) Two cars leave an intersection. One car travels north; the other east. When the car traveling north had gone 18 mi, the distance between the cars was 6 mi more than the distance traveled by the car heading east. How far had the eastbound car traveled?
A) 36 mi
B) 18 mi
C) 24 mi
D) 30 mi
12) A ladder is resting against a wall. The top of the ladder touches the wall at a height of 18 ft. Find the length of the ladder if the length is 6 ft more than its distance from the wall.
A) 30 ft
B) 36 ft
C) 18 ft
D) 24 ft
13) A lot is in the shape of a right triangle. The shorter leg measures 120 m. The hypotenuse is 40 m longer than the length of the longer leg. How long is the longer leg?
A) 120 m
B) 160 m
C) 240 m
D) 200 m
14) A 41-inch-square TV is on sale at the local electronics store. If 41 inches is the measure of the diagonal of the screen, use the Pythagorean theorem to find the length of the side of the screen.
A) (1681/2)
B) (√(41)/2) in.
C) (41√(2)/2) in.
D) √(41) in.
15) Mary lives on a corner lot. The neighborhood children have been cutting diagonally across her lawn instead of walking around the yard. If the diagonal distance across the lawn is 30 feet and the longer part of the sidewalk is twice the shorter length, how many feet are the children saving by cutting across the lawn? Round to the nearest foot if necessary.
A) 13 ft
B) 17 ft
C) 10 ft
D) 40 ft
Solve the problem, if possible. Round your answer to the nearest tenth, when appropriate.
16) The length of a rectangle is 4 in. more than its width. If 2 in. are taken from the length and added to the width, the figure becomes a square with an area of 192 in.2. What are the dimensions of the original figure?
A) 10.9 in. by 14.9 in.
B) 11.9 in. by 15.9 in.
C) 12.9 in. by 16.9 in.
D) Cannot be determined without additional information
17) The area of a square is 81 cm2. If the same amount is added to one dimension and removed from the other, the resulting rectangle has an area 9 cm2 less than the area of the square. How much is added and subtracted?
A) 9 cm
B) 4 cm
C) 3 cm
D) Cannot be determined without additional information
18) A square has an area of 49 in2. If the same amount is added to the length and removed from the width, the resulting rectangle has an area of 45 in2. Find the dimensions of the rectangle.
A) 4 in. by 9 in.
B) 5 in. by 10 in.
C) 5 in. by 9 in.
D) Cannot be determined without additional information
19) A rectangular garden has an area of 12 ft by 5 ft. A gravel path of equal width is to be built around the garden. How wide can the path be if there is enough gravel for 138 ft2?
A) 10 ft
B) 5 ft
C) 4 ft
D) 3 ft
20) A picture 9 in. by 12 in. is to be mounted on a piece of matte board so that there is an even amount of matte all around the picture. How wide will the border be if the area of the mounted picture is 238 in2?
A) 2.5 in.
B) 2 in.
C) 3 in.
D) 3.5 in.
