OK. I did it, and I have the solution.
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The length of the deck is (5 + 2x) .
The width of the deck is (4 + 2x) .
If the deck didn't have that big hole in the middle where the pool is,
then its area would be
(5 + 2x) · (4 + 2x) .
When you multiply that all out, you get Area = 4x² + 18x + 20
and the question tells us that the area of the whole big rectangle is 90 yds² .
So we can write
4x² + 18x + 20 = 90 .
Subtract 90 from each side: 4x² + 18x - 70 = 0
Divide each side by 2 : 2x² + 9x - 35 = 0
You can use the quadratic equation to solve that and find out that
x = 2.5 yards, and that's what the question is asking you.
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That makes the deck 10 yds high and 9 yds wide.
Total area of the whole big rectangle, (deck + pool ), = 90 yds².
C
This is because none of the numbers can be divided by any number other than themselves or 1.
Answer:
His error is multiplying by 4 sides as he thought it was total surface not lateral surface area- the final answer is 12
Step-by-step explanation:
He should have multiplied it by 3, because the 3 sides- not including the base- is what lateral surface area is. He originally did total surface area not lateral surface area so each sides area is 4m squared then you just multiply it by 3 and its 12
2x + x = 24
so x = 24/3 = 8 ft. (smaller length)
2x = 16 ft. (larger length)
