Answer:
The area of the rectangle is 69 feet squared.
Step-by-step explanation:
We know that perimeter is all of the sides of an object added together. Since the length is 12 feet, that means that 24 feet (2 sides of the rectangle) is the length. That leaves us with 11 1/2 feet. This needs to be divided by 2 to find the width since there are 2 sides for width. 11 1/2 / 2 = 5 3/4. To find the area. (l x w), you can multiply 12 by 5 3/4 to get 69. Now write the correct units which are feet squared.
Answer:
2 is a prime number so we don't need to break the 2's down any more. Instead we break 15 down. 15 doesn't divide by 2 so we try the next prime number: 3 Divide 15 by 3 to get 15 = 5 x 3, and so 60 = 5 x 3 x 2 x 2. Now we collect the factors, so our final answer is 60 = 5 x 3 x 22.
Step-by-step explanation:
The length of the parametric curve (call it <em>C </em>) is given by

We have


Now,

so that the arc length integral reduces to

which has an approximate value of 53.4596.