Question

Hi! If you can, please help me with this question. And show the steps on how you got your answer. Thank you!

Answer 1

Answer: 35.5

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Explanation:

The triangles are identical. So this means that the triangle on the left has the horizontal portion of 50 ft, and the other sides are x ft (where x is a placeholder for a number).

Add up the sides for the either triangle. We have x+x+50 = 2x+50. This expression is the perimeter of one triangle. The perimeter of both triangles is simply us doubling that expression

combined perimeter of 2 triangles = 2*(perimeter of one triangle)

combined perimeter of 2 triangles = 2*(2x+50)

combined perimeter of 2 triangles = 2*(2x)+2*(50) ... distribute

combined perimeter of 2 triangles = 4x+100

We're told that the combined perimeters total 242 ft, so this means 4x+100 must equal 242

Solve for x

4x+100 = 242

4x+100-100 = 242-100 ... subtract 100 from both sides

4x = 142

4x/4 = 142/4 ... divide both sides by 4

x = 35.5

note: 35.5 feet = 35 feet, 6 inches because 1/2 ft = 0.5 ft = (0.5*12) inches = 6 inches