Mia is the model for a dress shown the model is composed of trapezoids and rectangles with a semicircle taken out of it
1.5ft 1ft 1ft 1.8ft
what is the area of a dress
2.5 ft^2
2.9 ft^2
2.1 ft^2
3.3 ft^2
To find the total area of the dress, we need to calculate the area of each individual shape and then add them together.
First, let's calculate the area of the trapezoids. The formula for the area of a trapezoid is ((base1 + base2) / 2) * height.
For the first trapezoid, the bases are 1.5 ft and 1 ft, and the height is 1 ft.
Area of the first trapezoid = ((1.5 + 1) / 2) * 1 = 1.25 ft^2
For the second trapezoid, the bases are 1 ft and 1.8 ft, and the height is 1 ft.
Area of the second trapezoid = ((1 + 1.8) / 2) * 1 = 1.4 ft^2
Next, let's calculate the area of the rectangle. The formula for the area of a rectangle is length * width.
The length of the rectangle is 1.8 ft and the width is 1 ft.
Area of the rectangle = 1.8 * 1 = 1.8 ft^2
Finally, let's calculate the area of the semicircle. The formula for the area of a semicircle is (π * r^2) / 2, where r is the radius.
The diameter of the semicircle is the length of the rectangle, which is 1.8 ft.
The radius of the semicircle is half of the diameter, which is 0.9 ft.
Area of the semicircle = (π * 0.9^2) / 2 ≈ 0.95 ft^2
Now let's add up all the areas:
Total area = area of first trapezoid + area of second trapezoid + area of rectangle + area of semicircle
Total area = 1.25 + 1.4 + 1.8 + 0.95 ≈ 5.4 ft^2
Therefore, the area of the dress is 5.4 ft^2.