The scale factor of the dilation from ABCD to A′B′C′D′ is 3.
Step-by-step explanation:
Step 1:
In the pre-image ABCD, the length of one of the sides is given as 14 units.
For the other shape A′B′C′D′, the same side as the previous shape is given as 8 units.
Step 2:
To determine the scale factor, we divide the measurement after scaling by the same measurement before scaling.
In this case, it is the given length of the sides CD and C′D′.
So the scale factor = ![\frac{C^{1} D^{1} }{CD} = \frac{8}{14} = \frac{4}{7} .](https://tex.z-dn.net/?f=%5Cfrac%7BC%5E%7B1%7D%20D%5E%7B1%7D%20%7D%7BCD%7D%20%3D%20%5Cfrac%7B8%7D%7B14%7D%20%3D%20%5Cfrac%7B4%7D%7B7%7D%20.)
So the shape ABCD is dilated by a scale factor of
to produce the shape A′B′C′D′.
The area of the track will be 78501 m². The area of the track is equal to the area of the circle.
<h3>What is the area?</h3>
The space filled by a flat form or the surface of an item is known as the area.
The number of unit squares that cover the surface of a closed-form is the figure's area. Square meters and other similar units are used to measure area.
The area of the track is found as;
![\rm A=\frac{\pi}{4} d^2 \\\\ \rm A=\frac{3.14}{4} (100)^2 \\\\ A=7850 \ m^2](https://tex.z-dn.net/?f=%5Crm%20A%3D%5Cfrac%7B%5Cpi%7D%7B4%7D%20d%5E2%20%5C%5C%5C%5C%20%5Crm%20A%3D%5Cfrac%7B3.14%7D%7B4%7D%20%28100%29%5E2%20%5C%5C%5C%5C%20A%3D7850%20%5C%20m%5E2)
Hence, the area of the track will be 78501 m².
To learn more about the area, refer to the link;
brainly.com/question/11952845
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First, you have to multiply 60000 by 3 and you will get 180000. Then you add 4 and your final answer is 180004
<span>Question:
441 is 63% of what number?
=> 63% = 63% / 100% = 0.63
Since 441 is the 63% let’s find the value of 37% to get the toal of 100%
Solution, follow the formula
=> 0.63x = 441 – where x will be the value of the missing 100% value.
=> x = 441 / 0.63
=> x = 700 – the 100% value that have 441 as 63%
let’s check if we have the correct answer:
=> 700 * .63 = 441 </span>