Determine if the triangles, ΔSXC and ΔDXY, are similar. If so, identify the similarity criterion.
2 answers:
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Set the width to be x. Thus, the length is 4x.
The perimeter is 2(x+4x)=100, so x=10.
Plugging in x=10, you get that 4x=40.
So, the area of the rectangle is 400 .
Because there are 100 centimeters in a meter and you are asking for area, you must multiply by to get 4000000
.
The graph of is a horizontal line. So the area under
on [0, 8] is equal to the area of a rectangle with length 8 and height 2, or 16.
The graph of is the upper half of a circle with radius
. It's symmetric about
, so on the interval [0, 8], we're considering a quarter of the circle. The area of such a sector is
.
Then use the fact that the definite integral is distributive over sums, meaning