Explanation:
The area of a rectangle is 1,872 ft2. The ratio of the length to the width is 9:13. Find the perimeter of the rectangle.
176 ft
You want to make a scale drawing of your bedroom to help arrange your furniture. You decide on a scale of 3 in. = 2 ft. Your bedroom is a 12 ft by 14 ft rectangle. What should the dimensions of your drawing be?
18 in. by 21 in.
If 5/y + 7/x=24 and 12/y + 2/x=24, find the ratio of x to y.
5/7
Simplify the ratio 8ft/12in. Use the conversion 12 in. = 1 ft.
8/1
Analyze the proportion below and complete the instructions that follow.
2x+5/3 = x-5/4
-7
If a+b/2a-b = 5/4 and b/a+9 = 5/9, find the value of b.
30
Analyze the ratio below and complete the instructions that follow.
$30:$6
Simplify the ratio.
5:1
If 14/3 = x/y then 14/x =
3/y
Analyze the diagram below and complete the instructions that follow.
In the diagram, AB:BC is 3:4 and AC = 42. Find BC.
24
Analyze the diagram below and complete the instructions that follow.
If AB:BC is 3:11, solve for x.
9
If a, b, c, and d are four different numbers and the proportion a/b = c/d is true, which of the following is false?
b/a = c/d
Analyze the diagram below and complete the instructions that follow.
Find the ratio of the width to the length of the rectangle, then simplify the ratio. Use the conversion 100 cm = 1 m.
3/4
Simplify the ratio 3 gal./24 qt. Use the conversion 4 qt = 1 gal.
1/2
The area of a rectangle is 4,320 ft2. The ratio of the length to the width is 6:5. Find the length of the rectangle.
72 ft
Analyze the diagram below and complete the instructions that follow.
Given that CB/CA = DE/DF, find BA.
10.5
Analyze the proportion below and complete the instructions that follow.
2/3 = 8/x
3, 8
Analyze the diagram below and complete the instructions that follow.
Are the polygons shown here similar? Justify your answer. The images are not drawn to scale.
Yes, PQR ~TSV with a scale factor of 1:√3
All __________ are similar.
squares
Analyze the diagram below and complete the instructions that follow.
Determine which 2 triangles are similar to each other. The images are not drawn to scale.
GHI ~ JKL
Analyze the diagram below and complete the instructions that follow.
Pentagon PQRST ~ pentagon XYZVW. Find the value of b. The images are not drawn to scale.
3
Analyze the diagram below and complete the instructions that follow.
If ABC ~ XYZ, find XY. The images are not drawn to scale.
24
ABC is a right triangle. The legs of ABC are 9 ft and 12 ft. The shortest side of XYZ is 13.5 ft, and ABC ~ XYZ How long is the hypotenuse of XYZ?
22.5 ft