Question

Scaled Figures perimeter and area problem I would appreciate the help:0

Answer 1

The sides of the given triangle are 15,20 and 25.

`\begin{gathered} \text{Perimeter of the triangle =15+20+25} \\ =60 \end{gathered}`

Find the area.

`\begin{gathered} A\text{rea of the triangle =}(1)/(2)\cdot15\cdot20 \\ =150 \end{gathered}`

The length of the sides of the dilated triangle are 3 times the sides of the original triange.

So, the sides of the dilated triangle are:

`\begin{gathered} 15\cdot3=45 \\ 20\cdot3=60 \\ 25\cdot3=75 \end{gathered}`

So, the perimeter of the dilated triangle is the sum of 45, 60 and 75.

`\begin{gathered} \text{Perimeter of the dilated triangle=45+60+75} \\ =180 \end{gathered}`

Now, find the area of the dilated triangle.

`\begin{gathered} \text{Area of the dilated triangle =}(1)/(2)\cdot45\cdot60 \\ =1350 \end{gathered}`