What is the perimeter of the figure...
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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: E