Question

A mouse has made holes in opposite corners of a rectangular kitchen.

The width of the kitchen is 12 feet and the distance between the mouse's holes is 15 feet.
What is the length of the kitchen?

Answer 1

Answer:
`9ft`

Explanation:

We should use Pythagorean Theorem.

Let's call the width of the kitchen
`x`. The distance between the two holes is the hypotenuse of a right triangle with sides
`x` and
`12`, so we can write the equation:

• 
  `x^2+12^2=15^2`
• 
  `x^2=15^2-12^2`
• 
  `x^2=(15-12)(15+12)`
• 
  `x^2=3.27`
• 
  `x^2=81`
• 
  `√(x^2)=√(81)`
• 
  `√(x.x)=√(9.9)`
• 
  `x=9`