Scale Drawings
A map has a scale of 1 inch = 5 miles. If two cities are 3.5 inches apart on the map, what is their actual distance?
17.5 miles.
Two angles are supplementary. If one angle measures 48 degrees, what is the measure of the other angle?
132 degrees.
A cement drum has a radius of 12 inches. What is its diameter?
24 inches.
If a model car is 10 feet long and the scale is 1 inch = 2 feet, what is the length on a scale drawing?
5 in.
Two adjacent angles form a right angle. If their measures are (3x) and 45 degrees, solve for x.
x = 15 degrees.
Circle garden A has a diameter of 12 feet and Circle garden B has a radius of 8 feet. Which circle garden has a larger circumference?
Pi = 3.14
Circumference = (Pi)(d)
Circle B
If a room is 7 feet long and the scale is 1 inch = 2.5 feet, what is the length of the scale drawing?
2.8 inches
Angles A and B are supplementary. Angle A is four times larger than Angle B. What is the measure of Angle B?
36 degrees.
The radius of a circular clock is 6 inches, What is its circumference? (Use pi = 3.14)
37.68 inches.
what is the area of a storage unit in square feet if the scale drawing measures 3 inches by 2 inches and the scale is 1 inch : 3 feet?
*Area = length X width
54 square feet
Two lines intersect to form vertical angles. If one angle is represented by (4x-12) and the opposite vertical angle is 68 degrees, solve for x.
x = 20 degrees
A triangle-shaped cement mold has a height of 3 feet and a base of 7 feet. What is the area in square feet?
10.5 square feet.
A scale drawing of a rectangle clinic hallway has a length of 5 inches and a width of 3 inches. If the scale of the drawing is 1 inch to 4 feet, what is the actual area of the hallway in square feet?
* 1 foot equals 12 inches.
* Area = length X width
240 square feet.
Three angles meet at a single point on a straight line to form a supplementary angle. Their measurements are x° (2x+10)° and (3x-40)° What are the values of each angles.
35°
65°
80°
A trapezoid-shaped warehouse has a height of 5 feet, a top base length of 8 feet and bottom base length of 5 feet? What is the area, in square feet?
32.5 square feet.