Answer: Our required formula becomes :

Step-by-step explanation:
Since we have given that

We need to write a formula for f(b) in terms of b So, it becomes

Hence, our required formula becomes :

You can use the Pythagorean theorem to answer this. The diagonal is the hypotenuse of the right triangle that is formed. So, your equation will look like (h is height):

We have to solve for h:


You can plug it into a calculator, and you get approximately 19.105. The answer closest to that is
B. So, that's your answer! Hope it helps. If anything doesn't make sense, hmu!
Option B: The area of the trapezoid is 157.5 m²
Explanation:
We need to determine the area of the trapezoid.
The area of the trapezoid can be determined by the formula,

where h is the height, a and b are the base of the trapezoid.
From the figure, it is obvious that
,
and 
Substituting these values in the formula, we have,

Simplifying the terms, we have,

Multiplying the terms in the numerator, we have,

Dividing, we get,

Thus, the area of the trapezoid is 157.5 m²
Hence, Option B is the correct answer.
Answer:
33
Step-by-step explanation:
So the angle of 40 is a vertical angle with the one opposite of it, meaning that the triangle on the left would have two values of 40 and 41, to find the value of the 3rd angle of the left triangle, you can subtract 40 and 41 from 180 which is the total number of degrees in a triangle to get 99, then you can find the degrees of the triangle on the right's bottom angle by subtracting 99 from 180, meaning the bottom left angle would be 81, then you can do the same to find the other angle by subtracting 114 from 180 to get 66. Lastly you can add 81 and 66 to get 147, then subtracting 147 from 180 you would get x=33