Answer:
625 ft^2
Step-by-step explanation:
Given
--- perimeter
Required
The largest area
The perimeter is calculated as:

So, we have:

Divide both sides by 2

Make L the subject

The area is calculated as:

Substitute 

Open bracket

Differentiate with respect to W

Set to 0; to get the maximum value of W

Collect like terms

Divide by -2

So, the maximum area is:




Answer:
Step-by-step explanation:

Multiply the equation by 4

5x - 2 + 2 = 2*(3y + 2)
5x +0 = 2*3y + 2*2
5x = 6y + 4
5x - 6y = 4 --------------------(I)

Multiply the equation by 6

2*(7y + 3) = 3x + 2*7
14y + 6 = 3x + 14
14y = 3x + 14 - 6
14y = 3x + 8
-3x + 14y = 8 ------------------------(II)
Multiply equation (I) by 3 and equation (II) by 5 and then add
(I)*3 15x - 18y = 12
(II)*5 <u>-15x + 70y = 40</u> {Now add}
52y = 52
y = 52/52
y = 1
Substitute y =1 in equation (I)
5x - 6*1 = 4
5x - 6 = 4
5x = 4 +6
5x = 10
x = 10/5
x = 2
Answer:

Step-by-step explanation:
Your Welcome!
Answer:
$200
Step-by-step explanation:
Represent the regular price of the chair by c.
Then 0.25c =$50, and c = $200.
The regular price, c, was $200.
Answer:
46.6 ft/sec (to the nearest tenth)
Step-by-step explanation:
There's a common identity useful here: 60 mph = 88 ft/sec.
Mult. 31.8 mph by the conversion factor (88 ft/sec) / (60 mph), obtaining:
46.64 ft/sec.