Answer:
800 cm²
Explanation:
First, we're gonna solve for AB, since it's represented as an equation. Looking at the shape as a whole, we can see that 59 = (2x - 4) + (x + 9)
59 = 3x + 5 Add the 2 equations together
54 = 3x Subtract 5 from both sides
18 = x Divide 3 from both sides
Now we input 18 as x into AB.
2(18) - 4
36 - 4
= 32
Now we know AB is 32 cm. Because it is a quadrilateral, AB is parallel to GF, so we know GF is also 32 cm. Now we need to solve for AG/BF, which is parallel to BF/AG. But we don't even need to do that, because we can see that DE is parallel to those two, and it's given to us that DE is 25 cm. So we also know that AG and BF are 25 cm.
Now, we just need to solve for the area.
32 · 25 = 800 cm²