Answer:
12 square inches.
Step-by-step explanation:
Please consider the complete question.
A model ship has a mast that is 7 inches tall. A right triangular sail goes from the top of the mast to 1 inch from the bottom of the mast. The length of the base of the sail is 4 inches. The height of the sail is along the mast. Find the area of the sail.
The sail will form a right triangle with respect to mast, whose height is 6 inches and base is 4 inches as shown in the diagram.
The area of the sail will be equal to area of triangle.
[tex]\text{Area of triangle}=\frac{1}{2}(\text{Base}\times\text{Height})[/tex]
[tex]\text{Area of triangle}=\frac{1}{2}(4\text{ in}\times6 \text{in})[/tex]
[tex]\text{Area of triangle}=2\text{ in}\times 6 \text{in})[/tex]
[tex]\text{Area of triangle}=12 \text{ in}^2[/tex]
Therefore, the area of the sail is 12 square inches.
