Collect like terms and you'll get -2 - 3(a - b)
Hey there!
We are looking for the circumference of the circle, which is the distance around it. We are given the area, which is the radius squared times pi.
First, we need to undo the area to find our radius.
113.04/3.14=36
We square root this to find the radius.
√36=6
Our radius is six. To find the circumference, we need to multiply the diameter by pi. The diameter is twice the radius.
6*2=12
12*3.14=37.68
Therefore, we will need 37.68 feet of trim to around the edge of the quilt.
I hope this helps!
9514 1404 393
Answer:
382 square units
Step-by-step explanation:
The central four rectangles down the middle of the net are 9 units wide, and alternate between 8 and 7 units high. Then the area of those four rectangles is ...
9(8+7+8+7) = 270 . . . square units
The rectangles making up the two left and right "wings" of the net are 8 units high and 7 units wide, so have a total area of ...
2×(8)(7) = 112 . . . square units
Then the area of the figure computed from the net is ...
270 +112 = 382 . . . square units
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<em>Additional comment</em>
You can reject the first two answer choices immediately, because they are odd. Each face will have an area that is the product of integers, so will be an integer. There are two faces of each size, so <em>the total area of this figure must be an even number</em>.
You may recognize that the dimensions are 8, 8+1, 8-1. Then the area is roughly that of a cube with dimensions of 8: 6×8² = 384. If you use these values (8, 8+1, 8-1) in the area formula, you find the area is actually 384-2 = 382. That area formula is A = 2(LW +H(L+W)).
