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Genrish500 [490]
3 years ago
6

Your neighbor has decided to enlarge his garden. The garden is rectangular with width 6 feet and length 15 feet. The new garden

will be similar to the original one, but will have a length of 35 feet. Find the perimeter of the original garden and the enlarged garden.
Mathematics
1 answer:
Nana76 [90]3 years ago
4 0

Answer:

Original garden: 42 feet

Enlarged garden: 98 feet

Step-by-step explanation:

Perimeter = length (2) + width (2)

<u>Original perimeter:</u>

P = 15(2) + 6(2)

P = 30 + 12

P = 42 feet

In this problem, similar is proportional, so the new garden will be proportional to the old one.

If the original length was 15 and the new length is 35, then 15 would have had to have been multiplied by 2 1/3. That means you need to multiply 6 by 2 1/3, which is 14. That means the dimensions of the enlarged yard is 14 (width) × 35 (length).

<u>Enlarged perimeter</u>

P = 35(2) + 14(2)

P = 70 + 28

P = 98 feet

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If f(x) is an exponential function where f(4) =17 and f (12.5) = 31, then find the value of f(18.5), to the nearest hundredth.
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Solution: f(18.5)=31.47

Step by step solution:
I started by making an equation in slope intercept form- I found the slope, 28/17, with the points (4, 17) and (12.5, 31). Then I found the y intercept, 1, with the point (4, 17). So the equation is y=28/17x+1. Then I just plugged 18.5 where the x is and solved for y

28/17(18.5)+1=y
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Keep in mind that 1036/34 is not exactly 30.47 but that 30.47 was rounded to the nearest hundredth

Hope this helps :)
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