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

Answer:

35

Step-by-step 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