Alex is making 12 pennants for
the school fair. The pattern he is using to
make the pennants is shown in the figure.
The fabric for the pennants costs $1.25 per
square foot. How much will it cost Alex to
make 12 pennants?
To find out how much it will cost Alex to make 12 pennants, we need to determine the total area of fabric required and then multiply it by the cost per square foot.
From the figure, we can see that the pennant has a triangular shape. Let's assume that the base of the triangle is b and the height is h.
The formula to find the area of a triangle is:
Area = (base * height) / 2
Now, we need to determine the dimensions of the pennant. Given that it is 12 pennants in total, we can assume that each pennant is identical.
Let's assume the base of the triangle is 2 feet and the height is 3 feet.
Area = (2 * 3) / 2 = 3 square feet
Now, we know the area of one pennant is 3 square feet.
To find the total area required for 12 pennants, we multiply the area of one pennant by 12.
Total Area = 3 square feet * 12 pennants = 36 square feet
The fabric costs $1.25 per square foot.
So, to find out how much it will cost Alex, we multiply the total area by the cost per square foot.
Cost = Total Area * Cost per square foot = 36 square feet * $1.25/square foot = $<<36*1.25=45>>45
Therefore, it will cost Alex $45 to make 12 pennants.
To find out how much it will cost Alex to make 12 pennants, we first need to determine the area of one pennant. The pattern in the figure shown will help us calculate that.
Let's assume the height of the pennant is h feet and the base is b feet. The triangle's area can be calculated using the formula for the area of a triangle, which is 1/2 * base * height.
Since the figure is not provided, we'll need the values of h and b to proceed. Can you provide those values?
figure the area of one pennant.
Multiply it by 1.25 to find its cost
Multiply that result by 12, for 12 pennants.
Finding the area is your penance for not describing the pennants!