Question

5.) citlalli enjoys creating models of sailboats. she designs a toy model, as shown below. what is the area of citlallis design?

Explanation:

Step1: Calculate height of the sail pole

First, find the height of the vertical pole (non-triangular part of the sail). The total height from the base of the boat to the top of the pole is 19 in, and the boat's height is 5 in, with 2 in from the boat's top to the start of the triangular sail.
Height of pole = $19 - 5 - 2 = 12$ in

Step2: Find area of the pole

The pole is a rectangle with width 0.5 in and height 12 in.
Area of pole = $0.5 \times 12 = 6$ in²

Step3: Find area of triangular sail

The triangular sail has base 3 in and height equal to the pole's height above the 2 in mark, which is 12 in.
Area of triangle = $\frac{1}{2} \times 3 \times 12 = 18$ in²

Step4: Find area of the boat (trapezoid)

The boat is a trapezoid with top base 12.5 in, bottom base 9 in, and height 5 in.
Area of trapezoid = $\frac{1}{2} \times (12.5 + 9) \times 5 = \frac{1}{2} \times 21.5 \times 5 = 53.75$ in²

Step5: Sum all areas

Add the areas of the pole, triangular sail, and trapezoid boat.
Total area = $6 + 18 + 53.75 = 77.75$ in²

Answer:

77.75 square inches