Answer:
We'll solve that in parts.
The upper part is a right triangle that is 4 by (2 + 2 +6)
Area = (4 * 10) /2 = 20
The bottom of that figure is made of 3 parts.
A) a 2 by 2 right triangle. area equals (2*2)/2 = 2
B) a 2 by 2 square whose area equals 2*2 = 4
C) a 6 by 2 right triangle whose area equals (6*2) / 2 = 6
Total Area = 20 + 2 + 4 + 6 = 32
Step-by-step explanation:
Answer:
15x^2 - 12x^3
Step-by-step explanation:
A rectangular block has 3 parts that play into its volume. length, width and height. The question gives us length and width in the form of x and 3x, so height is what's missing.
It gives us a bit more information saying the sum of its edges is 20. We also have to ask how many lengths, widths and heights are there. That may be a bit hard to understand, but is you are looking at a block I could ask how many edges are vertical, just going up and down. These would be the heights. There are 4 total, and this goes the same for length and width, so 4*length + 4*width and 4*height = 20.
Taking that and plugging in x for length and 3x for width (or you could do it the other way around, it doesn't matter, you get:
4*x + 4*3x + 4*height = 20
4x + 12x + 4h = 20
16x + 4h = 20
4h = 20 - 16x
h = 5 - 4x
Now we have h in terms of x, which lets us easily find the volume just knowing x. To find the volume of a rectangular block you just multiply the length, width and height.
x*3x*(5-4x)
3x^2(5-4x)
15x^2 - 12x^3
Question doesn't give a specific value for x at all so you should be done there. Any number you plug in for x should get you the right answer
See attached picture for answre
<span> commutative property</span>
