Question

The pair of figures to the right are similar. The area of one figure is given. Find the area of the other figure to the nearest wholenumber.Area of larger triangle = 155 ft*2

Answer 1

Given the figure in the attached image.

The scale factor of the triangles is;

`\begin{gathered} f=(10)/(14) \\ f=(5)/(7) \end{gathered}`

Given that the area of the larger triangle is;

`A_1=155ft^2`

The area of the smaller triangle would be;

`A_2=A_1* f^2`

substituting the given values;

`\begin{gathered} A_2=155*((5)/(7))^2 \\ A_2=79ft^2 \end{gathered}`

Therefore, the area of the smaller triangle is;

`79ft^2`