County X has a population density of 250 people per square mile. The total

population of the county is 150,000. Which geometric model could be the shape of

county X?

A a parallelogram with a base of 25 miles and a height of 25 miles

B a rectangle that is 15 miles long and 45 miles wide

C a right triangle with a leg that is 30 miles long and a hypotenuse that is

50 miles long

D a trapezoid with base lengths of 10 miles and 30 miles and a height of

25 miles

Question

Mathematics

Finn Roberts

13 June, 22:24

County X has a population density of 250 people per square mile. The total

population of the county is 150,000. Which geometric model could be the shape of

county X?

A a parallelogram with a base of 25 miles and a height of 25 miles

B a rectangle that is 15 miles long and 45 miles wide

C a right triangle with a leg that is 30 miles long and a hypotenuse that is

50 miles long

D a trapezoid with base lengths of 10 miles and 30 miles and a height of

25 miles

+3

Answers (1)

Know the Answer?

Douglas Nielsen · Answer 1

C. with a 150,000 person population at 250 persons per square mile the country would be 600 square miles. The last leg would equal 40 miles and therefore making the area equal 600 square miles.