Question

George takes a photograph of a rectangular window that is 312 feet tall and 134 feet wide. He prints the photograph on paper so that the image of the window is 12 foot tall and 14 foot wide. What is the ratio of the area of window to the area of the image of the window?

Answer 1

A':A = 1742:7

Explanation:

Applying,

A' = L'W'............... Equation 1

Where A' = Area of the window, L' = Length of the window, W' = Width of the window.

From the question,

Given: L' = 312 ft, W' = 134 ft

A' = (312×134)

A' = 41808 ft²

Similarly,

A = LW.................. Equation 2

Where A = Area of the image of the window, L and W is thw length and width of the image of the window

Given: L = 12 ft, W = 14 ft

Therefore,

A = 12×14

A = 168 ft²

Therefore the ratio of A' to A = 41808:168 = 1742:7

A':A = 1742:7