Answer:
180 ft²
Step-by-step explanation:
In order to find the total area to paint, you need to find the surface area of the entire figure, which is the sum of the areas of all the sides. Since there are 5 faces to the prism, including the bottom, you will need to add the area of all five faces. The sides of the ramp are triangles with a base of 12 ft and height of 5ft. The area of a triangle is: A = 1/2bh. Since there are two triangles with the same dimensions:
12 x 5 = 60 ft²
Next, the top of the ramp is a rectangle with a length of 13 ft and width of 4 ft:
13 x 4 = 52 ft²
The bottom of the ramp is also a rectangle with length of 12 ft and width of 4 ft:
12 x 4 = 48 ft²
Lastly, the height of the ramp is 5 ft with a width of 4ft, also in the shape of a rectangle:
5 x 4 = 20 ft²
Add them all together:
20 + 48 + 52 + 60 = 180 ft²
We want to isolate "m" on one side of the equation and have a number on the other side. Let's start by subtracting both sides by 5m
Now, let's subtract both sides by 11
We now have the value of m.
The next thing I'm going to do is a bit tedious, but you typically want to have the variable on the left side of the equation in the field of math. It's a good habit to develop now.
Thus, the answer is choice 3, -18. Let me know if you need any clarifications, thanks!
~ Padoru
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