Question

Please I need help!!
The design for a painting of a farm scene is 12” x 9”. The artist wants to transfer this design to the side of a building. What is the largest
possible complete design that can be painted on a 24’ x 16’ wall.

Answer 1

The largest  possible complete design that can be painted on a 24’ x 16’ wall is 252' by 189'

Scale drawing

Scale drawing involves drawing a drawing in a different size and dimension that is proportional to the original dimension

Dimensions

The dimensions of the design for the farm scene painting is given as:

$12" \times 9"$

The dimensions of the wall is given as:

$24' \times 16'$

Convert feet to inches

$24' \times 16' = (24 \times 12") \times (16 \times 12")$

$24' \times 16' = (288") \times (192")$

Divide the dimensions of the wall by the painting to get the scale ratios (k)

$k = \frac{288}{12}$

$k = 24$

Also, we have:

$k =\frac{192}{9}$

$k =21.33$

Remove decimal (do not approximate)

$k =21$

By comparison;

21 is less than 24

Multiply 21 by the dimensions of the painting

So, we have:

$Length = 12 \times 21 = 252$

$Width = 9 \times 21 = 189$

Hence, the largest  possible complete design that can be painted on a 24’ x 16’ wall is 252' by 189'

Read more about scale drawings at:

https://brainly.com/question/810373