A parallelogram is a 4-sided shape formed by two pairs of parallel lines. Opposite sides are parellel separately, so each pair of opposite sides have equal lengths and angles. To find the area of a parallelogram, multiply its base by height. The formula is:
A(rea) = B(ase) * H(eight)
* means multiply.
In the question, the area of the parallelogram is known as 45 square miles, which means:
45 = B * H
So we need to find out all the possible pair of factors, whose product is 45:
1 * 45 = 45
3 * 15 = 45
5 * 9 = 45
Then we know base and height will fall into each pair:
1 * 45 = 45
=> B = 1 miles, H = 45 miles or B = 45 miles, H = 1 miles
3 * 15 = 45
=> B = 3 miles, H = 15 miles or B = 15 miles, H = 3 miles
5 * 9 = 45
=> B = 5 miles, H = 9 miles or B = 9 miles, H = 5 miles