Answer:
0.314 gallon is required to cover a circular region with a radius of 40 feet
Step-by-step explanation:
Given
a gallon of paint will cover about 400 square feet in a single coat
To Find:
Number of gallons required to cover a circular region with a radius of 40 feet = ?
Solution:
Step 1: Finding Area of the circular region
The area of the circular region, A = 
where r is the radius
Now substituting r = 40 , we get
A = 

Step 2: Finding the number of gallons of paint required
To cover 400 sq feet = 1 gallon
so to cover 1 square feet =
gallon
Now to cover 125.6 ft we need


=> 0.314 gallon
Answer:
Area: 6a^2
Perimeter: 12a^2
Step-by-step explanation:
To find the area of a triangle, use the formula A=1/2 b*h. The base is 3a^2 and the height is 4a^2.
A= 1/2 (3a^2)(4a^2)
A = 1/2 (12a^4)
A = 6a^4
To find the perimeter of the triangle, add each of the sides of the triangle. The third side, the hypotenuse, can be found using Pythagorean theorem.

Now add each of the sides: 3a^2 + 4a^2 +5a^2 = 12a^2