Question

sj 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 (sail mast) by subtracting the boat height and the 2-inch segment from the total height.
$\text{Height of pole} = 19 - 5 - 2 = 12$ in

Step2: Calculate area of the pole

The pole is a rectangle, use area formula for rectangle: $A = l \times w$.
$A_{\text{pole}} = 12 \times 0.5 = 6$ in²

Step3: Calculate area of the triangular sail

Use area formula for triangle: $A = \frac{1}{2} \times b \times h$.
$A_{\text{sail}} = \frac{1}{2} \times 3 \times 3 = 4.5$ in²

Step4: Calculate area of the boat (trapezoid)

Use area formula for trapezoid: $A = \frac{1}{2} \times (b_1 + b_2) \times h$.
$A_{\text{boat}} = \frac{1}{2} \times (12.5 + 9) \times 5 = \frac{1}{2} \times 21.5 \times 5 = 53.75$ in²

Step5: Sum all individual areas

Add the areas of the pole, sail, and boat to get total area.
$A_{\text{total}} = 6 + 4.5 + 53.75$

Answer:

64.25 square inches