Mr. Janas is building a pool in his backyard. He sketches the rectangular pool on a coordinate plane. The vertices of the pool a
re A(-5,7),B( 1,7),C(1,-1),and D(-5,-1). If each unit represents 1 yard,how much area of the backyard is needed for the pool?
1 answer:
Answer: The area of the pool is 48 yard square.
Explanation:
It is given that the vertices of the pool are A(-5,7),B( 1,7),C(1,-1),and D(-5,-1).
Plot these points on a coordinate plane as shown below.
From the figure it is noticed that the length of the pool is AB, which is equal to 6 and the bright of the pool is BC, which is equal to 8.
It is also calculated by distance formula.
The length AB is,
The breadth BC is,
The area of a rectangle is the product of length and breadth of the rectangle.
Since one unit represents one yard, therefore the area of the rectangular po is 48 yard square.
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20 ............2.5
-------- = ---------
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where x is the unknown distance to the aperture from the flower. Now, we just need to get x by itself. A typical way of solving something like this is by doing "butterfly multiplication" which is really just a shortcut haha. Anyway, I can rewrite that equation ^ as:
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Then, to solve for x, we would divide both sides by 2.5. (If you don't know why that is, please let me know and I'll elaborate).
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20×2
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Try using the same logic for your second question, and if you get stuck, I'd be happy to help! please let me know if any of this doesn't make sense. :)
Now, we can see that this is just a simple proportion problem. For every 2.5 cm of height of the flower, we are 2 cm from the opening, or aperture. For every 20 cm of height, how far are we? We can set up the problem like this:
20 ............2.5
-------- = ---------
...x ............. 2
where x is the unknown distance to the aperture from the flower. Now, we just need to get x by itself. A typical way of solving something like this is by doing "butterfly multiplication" which is really just a shortcut haha. Anyway, I can rewrite that equation ^ as:
20×2 = 2.5 × x
Then, to solve for x, we would divide both sides by 2.5. (If you don't know why that is, please let me know and I'll elaborate).
We would then have:
20×2
------- = x
2.5
Which then simplifies to:
x = 16
Try using the same logic for your second question, and if you get stuck, I'd be happy to help! please let me know if any of this doesn't make sense. :)
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Step-by-step explanation:
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In order to find the answer, we use the formula to calculate percentages, then we add that answer to the initial cost of the laptop.
<u>Now add:
</u>
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Hope this helps.