# The length of a kitchen is 1 1/4 inches. The actual length is 20 feet. What is the scale of the kitchen

## 20:1.25=80:5

## 1.25/20 = 1/x

1.25x = 20

x = 20/1.25 = 16

1 inch = 16 feet

## To find the scale of the kitchen, we need to compare the actual length of the kitchen with the length on the scale drawing.

Given information:

Actual length of the kitchen: 20 feet

Length on the drawing: 1 1/4 inches

To compare these lengths, we need to convert them to the same unit. Let's convert the actual length of the kitchen to inches:

20 feet = 20 feet * 12 inches/foot (since 1 foot = 12 inches)

= 240 inches

So, the actual length of the kitchen is 240 inches.

Now, we can find the scale by dividing the actual length by the length on the drawing:

Scale = Actual length / Length on drawing

= 240 inches / 1 1/4 inches

To divide by a fraction, we invert the divisor and multiply:

Scale = 240 inches / (5/4) inches

= 240 inches * (4/5)

= 960/5

= 192

Therefore, the scale of the kitchen is 1:192.