Question

in a certain triangle, the base is twice its height. if the height is 7m, what is the area of the triangle? 98 m² 47 m² 49 m² 43 m²

Explanation:

Step1: Find the base length

Given height \( h = 7 \, \text{m} \), base \( b = 2h \). So \( b = 2\times7 = 14 \, \text{m} \).

Step2: Calculate the area of the triangle

The formula for the area of a triangle is \( A=\frac{1}{2}\times b\times h \). Substitute \( b = 14 \, \text{m} \) and \( h = 7 \, \text{m} \) into the formula: \( A=\frac{1}{2}\times14\times7 \). First, \( \frac{1}{2}\times14 = 7 \), then \( 7\times7 = 49 \, \text{m}^2 \).

Answer:

\( 49 \, \text{m}^2 \) (corresponding to the option with \( 49 \, \text{m}^2 \))