Question

An investment firm wants to create a billboard that displays an enlarged $1,000,000 bill. the actual size of the bill is 2.61 inches by 6.14 inches. if a scale of 1 inch to 7.81 feet is used to create the billboard, what is its area to the nearest square foot

A. 977 ft 2
B. 125 ft 2
C. 192 ft 2
D. 1571 ft 2

Answer 1

A.
`977\ feet^(2)`

Explanation:

Given:-

Actual size of billboard,

Width(w)=2.61 inches

Length(l)=6.14 inches

Now,

To create a billboard in scale 1 inch to 7.81 feet,

this means,

1 inch=7.81 feet --------------(as per scale)

So,

2.61 inches=2.61
`*`7.81

2.61 inches=20.38 feet (Width)

6.14 inches=6.14
`*`7.81

6.14 inches=47.95 feet (Length)

Now the area of billboard as per scale is:

`Area=Width* Length`

`Area=20.38* 47.95`

`Area=977.22\ square\ feet`

`Area=977\ feet^(2)`

Therefore billboard nearest area is A. 977
`feet^(2)`