Question

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

Answer 1

The scale used to draw the flag is 1 cm:5 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 scale drawing to the actual lengths of the sides of the flag.

Let's assume the scale factor is represented by x. So, the length of the longest side in the scale drawing would be x*18 cm, and the length of the other two sides would be x*18 cm as well.

Since the perimeter of the actual flag is 150 feet, we can set up the equation 2x*18 cm + x*14 cm = 150 feet.

Solving this equation, we find that x = 5. Therefore, the scale used to draw the flag is 1 cm:5 feet.