Question

In a scale drawing of a triangular flag, two sides measure 18 cm and the other side measures 14 cm. The perimeter of the actual flag is 150 feet. What scale is used to draw the flag?

a. 1 cm = 5 feet
b. 1 cm = 10 feet
c. 1 cm = 15 feet
d. 1 cm = 20 feet

Answer 1

The scale used to draw the flag is 1 cm = 0.0109 feet, which is approximately 1 cm = 0.011 feet.

Step-by-step explanation:

To find the scale used to draw the flag, we need to compare the lengths

of the sides in the drawing to their actual lengths. Let's calculate the scale:

First, we find the actual perimeter of the flag by adding the lengths of the sides: 18 cm + 18 cm + 14 cm = 50 cm.

Next, we convert the actual perimeter from centimeters to feet: 50 cm * (1 foot/30.48 cm) = 1.64 feet.

Finally, we divide the actual perimeter by the perimeter in the drawing: 1.64 feet / 150 feet = 0.0109.

The scale used to draw the flag is 1 cm = 0.0109 feet, which is approximately 1 cm = 0.011 feet. So, the correct answer is option d. 1 cm = 20 feet.