Question

The state of Tennessee is shaped like a parallelogram. Its approximate dimensions are a base of 440 miles and a height of 120 miles. The state of Colorado is shaped like a rectangle, with approximate dimensions of 385 miles long and 275 miles wide. Ted works for a geographical company that is working on finding the areas of each state in the Union. Ted asked an assistant to double‐check his answers. Approximate area of Tennessee: 63,000 mi2 Approximate area of Colorado: 106, 000 mi2 11. If you were Ted’s assistant, would you agree with his answers? Explain why you answered yes or no by showing your work and explaining how it helped you come to your answer.

Answer 1

Tennessee area we don´t know there is something wrong

Colorado area is ok close to 106000 mi²

Explanation:

Tennessee is shaped like a parallelogram base is equal to 440 miles and the height is 120 miles. Therefore

Ap = b*h = 440 * 120 = 52800 mi²

But the area of Tennessee is 63000 mi²

Then there is something wrong because difference in mi² is

10400 mi²

10400/ 63000 = 0,165 % faraway of the real number

In the case of Colorado

Ac = 385 * 275

Ac = 105875 mi² pretty close to 106000 mi²

Then from double check in the areas, we conclude in a high difference in the figures for the state of Tennessee ( one or both of the figures are incorrect ). The state of Colorado area is oK