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Let's start by adding an auxiliary line that divides the shape into 2 pieces that we can work with (rectangle and right triangle)...

Let x = length of 3rd side of the right triangle...

Since the highlighted triangle is a RIGHT TRIANGLE, we can apply the Pythagorean Theorem. We get: x² + 40² = 50² Evaluate to get: x² + 1600 = 2500 So, x² = 900, which means x = 30

Alternatively, we might recognize that the highlighted triangle is a version of the 3-4-5 right triangle, except the highlighted triangle is 10 TIMES bigger than the standard 3-4-5 right triangle, which means the missing side (x) has length 30.....

Now that we have all of the information we need, the perimeter = 30 + 65 + 40 + 65 + 50 = 250 Answer:

Re: What is the perimeter of the figure above? (Note, figure not necessari [#permalink]

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06 Apr 2018, 10:14

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