If a triangular shaped metal plate has a base of 10 feet and a height of 15 feet, what is the area of the plate?

To find the area of a triangular shaped plate, the formula used is ( \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} ). In this scenario, the base of the triangle is 10 feet, and the height is 15 feet.

By applying the formula:

[

\text{Area} = \frac{1}{2} \times 10 , \text{feet} \times 15 , \text{feet}

]

[

\text{Area} = \frac{1}{2} \times 150 , \text{square feet}

]

[

\text{Area} = 75 , \text{square feet}

]

Thus, the correct calculation yields an area of 75 square feet. This highlights the importance of correctly applying the formula for the area of a triangle, emphasizing that both the base and the height should be measured in the same units, which in this case are feet. This reinforces the notion that precise use of measurements and formulas ensures accurate results in calculations relevant to fields requiring mathematical application, such as engineering and construction.