Question

The area of one equilateral triangle is $\frac{4}{3}$ square meters. A number of 4 such triangles are combined to form a bigger equilateral triangle. Find the area of the larger triangle.

• A. $\frac{16}{5}$ sq ft
  
• B. $\frac{16}{3}$ sq ft
• C. $\frac{12}{5}$ sq ft
• D. $\frac{12}{3}$ sq ft

Answer 1

The correct option is B $\frac{16}{3}$ sq ft

To form a larger triangle, the four triangles will be organized as shown in the given figure:

Area of the larger tile =4 $\times$ area of 1 tile
$=4\times \frac{4}{3}$
$=\frac{4}{3}+\frac{4}{3}+\frac{4}{3}+\frac{4}{3}$
$=\frac{16}{3}$ sq ft