Question

What is the perimeter, in meters (m), of ∆PRT?

Answer 1

The perimeter of a triangle is the sum of its dimensions

The perimeter of triangle PRT is 36 meters

Start by calculating the side length PT using the following equivalent ratios

$\mathbf{QR : QS = PR :PT}$

So, we have:

$\mathbf{3 : 8 = 6 :PT}$

Multiply 3 : 8 by 2

$\mathbf{6 : 16 = 6 :PT}$

By comparing the ratios, we have:

$\mathbf{PT = 16}$

So, the perimeter of triangle PRT is calculated using:

$\mathbf{Perimeter = PR + RT + PT}$

Substitute values for PR, RT and PT

$\mathbf{Perimeter = 3 + 3 + 7 + 7 + 16}$

Add up the figures

$\mathbf{Perimeter = 36}$

Hence, the perimeter of triangle PRT is 36 meters

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