Question

Carol has a small copy of a painting. The dimensions of her copy are shown at right. The scale of the copy is 0.5 inches : 12 centimeter.

a.Find the dimensions of the original painting.
b.Find the area of the original painting.
c.One centimeter is equal to approximately 0.033 foot. Find the dimensions of the original painting in feet.
d.Find the area of the painting in square feet. Round to the nearest thousands.
(I'm sorry I don't understand this...can anyone help??..)

Answer 1

the complete question in the attached figure

we know that
[scale]=0.5/12
[scale]=[copy of a painting]/[original painting]

dimensions copy of a painting--------------> 1.75 in x 5.25 in

for 1.75 in
[original painting]=[copy of a painting]/[scale]
[original painting]=[1.75]/[(0.5/12)]=42 cm


for 5.25 in
[original painting]=[copy of a painting]/[scale]
[original painting]=[5.25]/[(0.5/12)]=126 cm

the answer Part A) is
the dimensions of the original painting are 42 cm x 126 cm

Part B)
Find the area of the original painting.
[area of the original painting]=42*126=5292 cm²

the answer Part B) is
area of the original painting is 5292 cm²

Part C)
One centimeter is equal to approximately 0.033 foot. Find the dimensions of the original painting in feet.

the dimensions of the original painting are 42 cm x 126 cm
then

for 42 cm
if 1 cm----------------> 0.033 ft
42 cm----------------> X
X=42*0.033=1.386 ---------> 1.386 ft

for 126 cm
if 1 cm----------------> 0.033 ft
126 cm----------------> X
X=126*0.033=4.158 --------> 4.158 ft

the answer Part C) is
the dimensions of the original painting in feet are 1.386 ft x 4.158 ft

Part D) Find the area of the painting in square feet. Round to the nearest thousands.

the dimensions of the original painting in feet are 1.386 ft x 4.158 ft
{Area original painting in feet]=1.386*4.158=5.763 ft²

the answer part C) is
the area original painting in feet is 5.763 ft²