Question

find the area of this figure. 54 square meters 108 square meters 216 square meters 28 square meters

Explanation:

Step1: Calculate the area of one triangle

The area formula of a triangle is \(S = \frac{1}{2}ah\). For each small triangle, \(a = 9m\), \(h=6m\). Then \(S_{triangle}=\frac{1}{2}\times9\times6 = 27m^{2}\)

Step2: Calculate the total number of triangles

There are \(4\) congruent small triangles in the figure.

Step3: Calculate the area of the figure

The area of the figure \(S = 4\times S_{triangle}\). Substitute \(S_{triangle}=27m^{2}\) into the formula, we get \(S=4\times27=108m^{2}\)

Answer:

108 square meters