Answer:
The dimension that maximizes area is 144ft by 144ft
Step-by-step explanation:
Given
-- perimeter
Required
The dimension that gives maximum area
Perimeter is calculated as:

So, we have:

Divide through by 2

Make L the subject

Area is calculated as:

Substitute 

Open bracket

Differentiate A with respect to W

Set to 0 to calculate W

Collect like terms

Divide by 2

Recall that:



The juice container that is 1 gallon
Answer: (B) SinA = 4/5
Step-by-step explanation: Sine= O/H or opposite of hypotenuse so in regards to the triangle opposite is 28 and hypotenuse 35 or 28/35 which also equals 4/5