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 area of the dress, we need to add up the areas of all the individual shapes - trapezoids, rectangles, and a semicircle.
The first side of the dress is a trapezoid with a height of 1.5ft, a base of 1ft, and a top length of 1.8ft. The area of a trapezoid is given by the formula: (1/2) * (base1 + base2) * height. So, the area of this trapezoid is (1/2) * (1ft + 1.8ft) * 1.5ft = 1.65ft^2.
Next, we have a rectangle with a length of 1.8ft and a width of 1ft. The area of a rectangle is given by the formula: length * width. So, the area of this rectangle is 1.8ft * 1ft = 1.8ft^2.
Finally, we have a semicircle with a diameter of 1ft. The formula for the area of a semicircle is (pi/2) * radius^2. The radius is half the diameter, so it is 0.5ft. The area of the semicircle is (pi/2) * (0.5ft)^2 = 0.25pi ft^2.
Adding up all the areas, we get: 1.65ft^2 + 1.8ft^2 + 0.25pi ft^2.
Now, let's estimate the value of pi. Taking pi as approximately 3.14, we can calculate the area: 1.65ft^2 + 1.8ft^2 + 0.25 * 3.14 ft^2 = 1.65ft^2 + 1.8ft^2 + 0.785ft^2 = 4.235ft^2.
Therefore, the estimated area of the dress is approximately 4.235 ft^2.
For the given options, none match this result exactly. The closest option is 4.1 ft^2, but that is not an exact match.