Archer is sewing a triangle flag .He start with the scale drawing on the left and plans to enlarge the flag to match the picture on the right. What will be the area of the complete flag in the square Feet
To find the area of the complete flag, we need to find the area of the triangle in the scale drawing and then enlarge it to find the total area.
Let's first find the area of the triangle in the scale drawing:
Since the scale factor is 1:4, the base of the triangle in the scale drawing is 1/4 times the base of the triangle in the final picture, so the base of the triangle in the scale drawing is 10 inches (40/4 = 10).
Similarly, the height of the triangle in the scale drawing is 1/4 times the height of the triangle in the final picture, so the height of the triangle in the scale drawing is 6 inches (24/4 = 6).
Now, we can find the area of the triangle in the scale drawing:
Area = (1/2) * base * height
Area = (1/2) * 10 * 6
Area = 30 square inches
Since 1 square foot is equal to 144 square inches, we need to convert the area from square inches to square feet:
30 square inches / 144 = 0.208333333 square feet
Now, we can find the total area of the complete flag:
Since the scale factor is 1:4, the total area of the complete flag will be 4 times the area of the triangle in the scale drawing.
Total area = 4 * 0.208333333
Total area = 0.833333333 square feet
Therefore, the total area of the complete flag will be approximately 0.83 square feet.