Question

a vacant lot has the dimensions of 160 feet by 231 feet. kareem is in a hurry and cuts across the lot diagonally. how much distance did he save by cutting across the lot?

Answer 1

The diagonal of the lot can be found using the Pythagorean theorem. Kareem saved approximately 284.55 feet by cutting across the lot.

Step-by-step explanation:

The vacant lot has dimensions of 160 feet by 231 feet. To calculate the distance saved by cutting across the lot diagonally, we can find the length of the diagonal using the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

So, in this case, we can calculate the length of the diagonal (d) as follows:

d = √(160^2 + 231^2)

Using a calculator, we can find that d ≈ 284.55 feet. Therefore, Kareem saved approximately 284.55 feet by cutting across the lot.