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 sail (triangle) area

The sail is a triangle with base $0.5$ in and height $3$ in. The area of a triangle is $\frac{1}{2} \times \text{base} \times \text{height}$.
$\text{Area}_{\text{sail}} = \frac{1}{2} \times 0.5 \times 3 = 0.75$ in²

Step2: Calculate hull (trapezoid) area

The hull is a trapezoid with bases $12.5$ in, $9$ in, and height $5$ in. The area of a trapezoid is $\frac{1}{2} \times (\text{base}_1 + \text{base}_2) \times \text{height}$.
$\text{Area}_{\text{hull}} = \frac{1}{2} \times (12.5 + 9) \times 5 = \frac{1}{2} \times 21.5 \times 5 = 53.75$ in²

Step3: Calculate mast (rectangle) area

The mast height is total height minus sail height minus hull height: $19 - 3 - 5 = 11$ in, width $0.5$ in. Area of a rectangle is $\text{length} \times \text{width}$.
$\text{Area}_{\text{mast}} = 11 \times 0.5 = 5.5$ in²

Step4: Sum all areas

Add the areas of the sail, hull, and mast.
$\text{Total Area} = 0.75 + 53.75 + 5.5$

Answer:

60 in²