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.