MATH SOLVE

4 months ago

Q:
# 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?

Accepted Solution

A:

Answer:The length of Fence B on the blueprint is 6 inchesStep-by-step explanation:The complete question isA 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 1Convert mixed number to an improper fraction[tex]1\frac{4}{5}\ in=\frac{1*5+4}{5}=\frac{9}{5}\ in[/tex][tex]1\frac{1}{2}\ ft=\frac{1*2+1}{2}=\frac{3}{2}\ ft[/tex]so the scale drawing is[tex]\frac{(9/5)}{(3/2)}\ \frac{in}{ft}=\frac{6}{5}\ \frac{in}{ft}[/tex]That means ----> 6 inches on the blueprint represent 5 feet in the actualTo find out the length of Fence B on the blueprint multiply the actual length of Fence B by the scale drawing[tex]\frac{6}{5}\ \frac{in}{ft}(5\ ft)=6\ in[/tex]thereforeThe length of Fence B on the blueprint is 6 inches