Question

A blueprint shows a house with two fences. Fence A is 1 4/5 inches long on the blueprint and is to be 1 1/2 feet long. How long is Fence B on the blueprint?

Answer 1

Answer:

The length of Fence B on the blueprint is 6 inches

Step-by-step explanation:

The complete question is

A blueprint shows a house with two fences. Fence A is 1 4/5 inches long on the blueprint and is to be 1 1/2 feet long. Fence b is 5 feet long. How long is Fence B on the blueprint?

step 1

Convert mixed number to an improper fraction

$1\frac{4}{5}\ in=\frac{1*5+4}{5}=\frac{9}{5}\ in$

$1\frac{1}{2}\ ft=\frac{1*2+1}{2}=\frac{3}{2}\ ft$

so

the scale drawing is

$\frac{(9/5)}{(3/2)}\ \frac{in}{ft}=\frac{6}{5}\ \frac{in}{ft}$

That means ----> 6 inches on the blueprint represent 5 feet in the actual

To find out the length of Fence B on the blueprint multiply the actual length of Fence B by the scale drawing

$\frac{6}{5}\ \frac{in}{ft}(5\ ft)=6\ in$

therefore

The length of Fence B on the blueprint is 6 inches