Answer:
101.9 sq ft
Step-by-step explanation:
The figure is missing: find it in attachment.
Here we want to find the lateral surface area of the figure, which is the sum of the areas of all faces.
We have in total 5 faces:
- 1 of them is rectangle with sizes (8.5 ft x 3.3 ft), so its area is

- 1 of them is a rectangle with sizes (3.3 ft x 5.1 ft), so its area is

- 1 of them is a rectangle with sizes (6.8 ft x 3.3 ft), so its area is

- Finally, we have 2 triangular faces (top and bottom), so their area is

where
b = 5.1 ft is the base
h = 6.8 ft is the height (because the triangle is a right triangle)
So the area of the triangle is

So the total lateral surface area of the figure is:

Hello!
Here we are given a composite shape, meaning that we can divide this shape up into ways that we are given formulas to solve for legs and such.
I can see here that this can be divided into a triangle and a rectangle using a horizontal line.
The leg lengths of this triangle would be 9, because it is congruent to the bottom side of the rectangle, and 7, because it is the left side minus the right side.
This would also make a right triangle, meaning we could solve for the hypotenuse utilizing the Pythagorean Theorem.





Which is in simplest radical form.
Hope this helps!
The formula is
A=p (1+r/k)^kn
A future value?
P present value 4000
R interest rate 0.057
K compounded monthly 12
N time 4years
A=4,000×(1+0.057÷12)^(12×4)
A=5,021.63
X could be another name!! hope this helped you a lot!!