Question

A mouse has made holes in the opposite corners of a rectangular kitchen. The width of the kitchen is 12 feet and the holes are 20 feet apart. What is the length of the kitchen? *

Answer 1

Answer:

The length of kitchen is 16 feet.

Step-by-step explanation:

Given:

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

The width of the kitchen is 12 feet and the holes are 20 feet apart.

Now, to find the length of the kitchen.

As, the figure is attached below to understand the situation.

The kitchen's width is 12 feet and the holes are 20 feet apart.

Now, we have to find the length of kitchen.

So, we use pythagorean theorem to find the length of the kitchen:

$AB^2 + BC^2 = AC^2\\\\12^2+BC^2=20^2\\\\144+BC^2=400$

Subtracting both sides by 144 we get:

$BC^2=256$

Using square root on both sides we get:

$BC=16\ feet.$

Therefore, the length of kitchen is 16 feet.