Question

A mural inspired by a photograph measures 108 inches by 180 inches. The scale of the photograph to the mural is 1.:12 in. What are the dimensions of the photograph

Answer 1

108 inches and 2160 inches

Explanation:

108 inches = 274.32 cm

180 inches = 457.2 cm

The area of the mural, A1 = 274.32 X 457.2 = 125419.1 cm²

Let the area of the photograph = A2

The scale A1 to A2,

1/12 = A1/A2

1/12 = 125419.1/A2

∴ A2 = 12 X 125419.1 = 1505029.2 cm²

For their lenghs

1/12 = L1/L2

1/12 = 457.2/L2

L2 = 12 X 457.2 = 5486.4 cm (or 2160 inches)

The width of the photograph

1505029.2/5486.4 = 274.3 cm ( 108 inches)