Answer:
A = (100 - y)y
Maximum area = 2500 sq. feet.
Step-by-step explanation:
Let the length of the combined rectangular area is y feet and the shared width is x feet.
So, perimeter of the two rectangle together is (3x + 2y) = 200 {Given}
⇒ 2y = 200 - 3x
⇒
...... (1).
a) Now, area of the total plot in sq. feet is
........ (2)
So, this is the expression for area A in terms of length of shared side x.
b) For area to be maximum the condition is ![\frac{dA}{dx} = 0](https://tex.z-dn.net/?f=%5Cfrac%7BdA%7D%7Bdx%7D%20%3D%200)
Now, differentiating equation (2) on both sides with respect to x we get
![\frac{dA}{dx} = 100 - 3x = 0](https://tex.z-dn.net/?f=%5Cfrac%7BdA%7D%7Bdx%7D%20%3D%20100%20-%203x%20%3D%200)
⇒ x = 33.33 feet.
So, from equation (1) we get ![y= \frac{1}{2} (200 - 3x)](https://tex.z-dn.net/?f=y%3D%20%5Cfrac%7B1%7D%7B2%7D%20%28200%20-%203x%29)
⇒ x = 50 feet.
So, the value of maximum area = 50 × 33.33 = 1666.5 sq. feet. (Answer)
<em><u>Answer:</u></em>
option A is the correct answer
They are the same lines so the solutions are infinite.
The answer is A) infinitely many solutions.
Hope this helps :)
Hello!
2 eggs makes 10 pancakes so that is a 2:10 ratio
which can be reduced to 1 egg makes 5 pancakes so
35/5 which equals 7
7 eggs are needed to make 35 pancakes
Hope this helps!
Adding them up, we have 1/2+3/20+2/5+4/5. We can do a bit of guess and checking to see that 2, 5, and 20 go into 20. 20/2=10 and 20/5=4, so we multiply 1/2 by 10/10 and 2/5 and 4/5 by 4/4 to get 10/20+3/20+8/20+16/20= 37/20