You sell triangular flags made from felt. How much felt do you need to make 60
flags?
To determine the amount of felt needed to make 60 triangular flags, we need to consider the dimensions of each flag and the amount of felt required per flag.
Assuming that each triangular flag has a uniform size, we require the dimensions of each flag to calculate the area of felt needed.
Let's assume the base length (b) of the triangle is 10 cm, and the height (h) of the triangle is 15 cm.
The area (A) of a triangle can be calculated using the formula:
A = (1/2) * b * h
Substituting the values, we get:
A = (1/2) * 10 cm * 15 cm
= 75 cm²
Thus, each triangular flag requires an area of 75 cm².
Now, to determine the total amount of felt needed for 60 flags, we multiply the area of one flag by the number of flags:
Total felt = 75 cm²/flag * 60 flags
= 4500 cm²
Therefore, you would need 4500 cm² of felt to make 60 triangular flags.
Put that answer in square inches
To convert the area from square centimeters to square inches, we need to divide by the conversion factor of 2.54² (since 1 inch is equal to 2.54 centimeters).
Total felt in square inches = (4500 cm²) / (2.54²)
= 698.82 square inches (rounded to two decimal places)
Therefore, you would need approximately 698.82 square inches of felt to make 60 triangular flags.