You're going to want to split the figure into multiple different shapes. We already have a triangle, so I would split the remaining shape into a rectangle and trapezoid.
We can find the area of the triangle easily with the equation 1/2(bh)
So
1/2(2 · 3)
1/2(6)
3
So the triangle is 3 ft²
Now we can find the area of the rectangle.
The measurements will be 3 and 7. It's just base x height so it'll be 21 ft²
Part A: The answer is PR = 15.23 by Pythagorean Theorem. The pythagorean theorem is a^2 + b^2 = c^2. Plug in 14 for a and 6 for b to find c. Part B: The answer is QR = 7.75. Using the same theorem, plug 16 in for c, 14 in for a, and then you can find b.
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