Question

A diagonal shortcut across a rectangular lot is 130 feet long. The lot is 50 feet long. What is the other dimension of the lot

Answer 1

The other dimension of the rectangular lot is 120 feet.

Step-by-step explanation:

In a rectangular lot, the diagonal forms a right triangle with the two sides of the rectangle. We can use the Pythagorean theorem to find the length of the other dimension of the lot.

Let's assume that the other dimension of the lot is x feet. The diagonal, which is 130 feet, is the hypotenuse of the right triangle. The two sides of the rectangle are 50 feet and x feet.

Using the Pythagorean theorem, we have:

x2 + 502 = 1302

x2 + 2500 = 16900

x2 = 14400

x = √14400 = 120

Therefore, the other dimension of the lot is 120 feet.

Answer 2

We use the pithagorean formula: x^2 = 130^2 - 50^2 = 16900 -2500 = 14400;
then, x =
`√(14400)` = 120 feet has the other dimension of the lot.