Question

what is the missing length?
u
16.3 m
13.2 m
area = 158.925 m²

Explanation:

Step1: Recall trapezoid area formula

The area of a trapezoid is $A = \frac{1}{2}(b_1 + b_2)h$, where $b_1, b_2$ are the two parallel sides, and $h$ is the height.

Step2: Plug in known values

Substitute $A=158.925$, $b_2=13.2$, $h=16.3$:
$$158.925 = \frac{1}{2}(u + 13.2) \times 16.3$$

Step3: Isolate the sum of bases

Multiply both sides by 2, divide by 16.3:
$$u + 13.2 = \frac{158.925 \times 2}{16.3}$$
$$u + 13.2 = \frac{317.85}{16.3} = 19.5$$

Step4: Solve for $u$

Subtract 13.2 from both sides:
$$u = 19.5 - 13.2 = 9.3$$

Answer:

9.3 m