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omar5457
27.12.2020 •
Mathematics
A rectangular swimming pool is to be built with an area of 1800 square feet. The owner wants 5- foot wide decks along the two sides and 10-foot wide decks at the two ends. Find the dimensions of the smallest piece of land on which the pool (including the decks) can be built satisfying these conditions.
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Ответ:
Step-by-step explanation:
given data:
area of the pool = 1800 square feet.
length along the deck = 5- foot
length of side along the deck = 10-foot
Solution:
dimension of the pool =![x * y](/tpl/images/1007/9582/bb301.png)
total area![A = (20+y)(10+x)](/tpl/images/1007/9582/d67dc.png)
![...................eqn1](/tpl/images/1007/9582/51ea4.png)
since![xy = 3000\\](/tpl/images/1007/9582/b6546.png)
insert eqn2 into eqn1
to solve for y,![\frac{60000}{x^{3} }](/tpl/images/1007/9582/81a93.png)
Ответ:
cbda
Step-by-step explanation: