What is the perimeter? round to the nearest hundredth!

30 + 3√2

Step-by-step explanation:

First, we can find the height of the rectangle by using the base length of the triangle. Shown that the two angles of the triangle are 45° and 90°, we know that the remaining angle should be 45°, making the triangle an isosceles triangle. This means that the height of the triangle and the rectangle are both 3.

The length of the rectangle is 15 - 3, which is 12.

The only remaining side, which is the triangle's hypotenuse, and this can only be solved through Pythagoras's theory. Since both sides of the triangle is 3, we use a² + b² = c².

3² + 3² = c²

9 + 9 = c²

18 = c²

c = √18 = 3√2

Now add everything up.

15 + 3 + 12 + 3√2

= 30 + 3√2

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step-by-step explanation: