Question

The floor of a rectangular living room is 28 feet by 21 feet. What is the distance between opposite corners of the living room? feet

Answer 1

35

Explanation:

So we have a rectangle and we are really just trying to find out the length of a diagonal.

A diagonal is the hypothenuse of triangle with its other sides being equal to 21 and 28 hence:

`{d}^(2) = {x}^(2) + {y}^(2)`

We can solve for diagonal and get:

`d = \sqrt{ {x}^(2) + {y}^(2) }`

Now put in the data and calculate the result.

`d = \sqrt{ {21}^(2) + {28}^(2) } = 35`

So the distance between opposite corners aka diagonal is 35 feet long.

Hope this helps.

r3t40