Question

An artist is making a mural by reproducing a painting at a different scale. The original painting is 12 1/2 inches long and 5 inches wide. The mural will cover an entire wall that is 52.5 feet long and 20 feet wide. What will be the scale that relates the original painting to the mural?

Answer 1

Answer:

The scale is $\frac{1}{60}$

Step-by-step explanation:

The correct question is

An artist is making a mural by reproducing a painting at a different scale. the original painting is 10 1/2 inches long and 4 inches wide. the mural will cover an entire wall that is 52.5 feet long and 20 feet wide. what will be the scale that relates to the original painting to the mural?

we know that

To find out the scale divide the measure of the original painting by the measure of the mural

so

Long

$\frac{10.5}{52.5}\ \frac{in}{ft}$

Remember that

$1\ ft=12\ in$

Convert feet to inches

$\frac{10.5}{52.5*12}=\frac{10.5}{630}\ \frac{in}{in}=\frac{10.5}{630}$

simplify

$\frac{1}{60}$

That means ----> 1 unit in the original painting represent 60 units in the mural

Verify the scale with the wide (both scale must be equals)

wide

$\frac{4}{20}\ \frac{in}{ft}$

Remember that

$1\ ft=12\ in$

Convert feet to inches

$\frac{4}{20*12}=\frac{4}{240}\ \frac{in}{in}=\frac{4}{240}$

simplify

$\frac{1}{60}$

That means ----> 1 unit in the original painting represent 60 units in the mural