Archer is sewing a triangle flag. He starts with the scale drawing on the left and plans to enlarge the flag to match the picture on the right.what will be th area of the complete flags in square feet
In order to find the area of the complete flag in square feet, we first need to determine the dimensions of the flag in the scale drawing and then use these dimensions to calculate the area of the enlarged flag.
Let's assume that the scale drawing shows the dimensions of the flag as follows:
- Base of the triangle: 4 inches
- Height of the triangle: 6 inches
Using the scale factor provided, which is 1 inch = 2 feet, we can calculate the actual dimensions of the flag:
- Actual Base of the triangle: 4 inches x 2 feet/inch = 8 feet
- Actual Height of the triangle: 6 inches x 2 feet/inch = 12 feet
Now we can calculate the area of the triangle using the formula for the area of a triangle:
Area = (1/2) x base x height
Area = (1/2) x 8 feet x 12 feet
Area = 48 square feet
Therefore, the area of the complete flag will be 48 square feet.