Question

The three sides of a triangular lot are represented by x , 2 x , and 3 x + 2. Find each side if the perimeter of the triangular lot is 362 feet. The lengths of the sides of the triangle are :

Answer 1

60 ft, 120 ft, 182 ft

Explanation:

Hi there,

To find the perimiter of a polygon, you need to add of all of the sides.

So, let's do that:

x + 2x + 3x+2

Since we are given the perimeter, we make what we just did above, equal to the perimeter

x + 2x + 3x +2 = 362

Combine lke terms...

6x + 2 = 362

Subtract 2 from both sides to start to isolate the variable...

6x = 360

Divide both sides by 6 to isolate x...

x = 60

But we're not done yet...

The length of the first side is 60 ft, the length of the second side is 2*60 which is 120 ft, and the length of the third side is 3*60 + 2 which is 182 ft.

Let's check...

Does 60 + 120 + 182 = 362?

362 = 362

Our answers are right

Hope this helps! Stay safe!

- Emily