A photo is 10 cm long. It is enlarged so that all dimensions are increased by 20%. What is the ratio of the area of the enlarged photo to the area of the original photo?

Step-by-step explanation:

Let the shape of the photo be square shaped. All the sides of a square are equal.

If the photo is 10 cm long initially, the area of the photo before enlargement will be expressed as

A1 = Length * Length

A1 = 10 * 10

A1 = 100 cm²

If the photo is enlarged so that all dimensions are increased by 20%, then increment in length = 20% of 10 cm

= 20/100 * 10

= 0.2 * 10

= 2 cm

Length of the photo after enlargement =  10 cm + 2 cm = 12 cm

Area of the enlarged photo A2 = 12 * 12 = 144 cm²

The  ratio of the area of the enlarged photo to the area of the original photo = A2/A1 = 144/100

= 72/50

= 36/25

= 1.44

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step-by-step explanation: