Question

A painter took a digital photo of a 16-inch wide by 20-inch long painting to display on his website. The digital image is 2.5 inches long. What is the area of the image in square inches?

Answer 1

The actual photo has an area of 16*20 inches, so 320 inches squared. The ratio between the digital and real photo is 16:20. On the other hand, the width to length of the digital photo is x:2.5. Cross multiply the two ratios and solve for x. 16/20*x/2.5 —> 20x = 40 —> x = 2. The width of the digital image is 2 inches, so multiplying the width times the length gives you a 5 inches squared area for the digital image. Answer: 5 in^2