The area of a rectangle is width (w) x height (h). In this problem we know that the rectangle is twice as long as it is wide so h = 2w. The perimeter of a rectangle is 2w + 2h and we know that the perimeter of this rectangle is 36 meters so the equation becomes: 2w + 2h = 36.

Putting these two equations together and solving for width (w):

2w + 2h = 36
w + h = \( \frac{36}{2} \)
w + h = 18
w = 18 - h

From the question we know that h = 2w so substituting 2w for h gives us:

w = 18 - 2w
3w = 18
w = \( \frac{18}{3} \)
w = 6

Since h = 2w that makes h = (2 x 6) = 12 and the area = h x w = 6 x 12 = 72 m²

If 88% of the town's 44,000 voters cast ballots the number of votes cast is:

(\( \frac{88}{100} \)) x 44,000 = \( \frac{3,872,000}{100} \) = 38,720

The mayor got 86% of the votes cast which is:

(\( \frac{86}{100} \)) x 38,720 = \( \frac{3,329,920}{100} \) = 33,299 votes.

66% of the water consumption is industrial use and 32% is personal use so (66% - 32%) = 34% more water is used for industrial purposes. 35,000 gallons are consumed daily so industry consumes \( \frac{34}{100} \) x 35,000 gallons = 11,900 gallons.

A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.

Monica scored 85% on the test meaning she earned 85% of the possible points on the test. There were 80 possible points on the test so she earned 80 x 0.85 = 68 points. Each question is worth 2 points so she got \( \frac{68}{2} \) = 34 questions right.