Question

a museum sells postcards of famous paintings. the postcards must be the same shape as the painting. below are three options for the size of the postcard. which postcard could be the same shape as the painting? show your work.

Explanation:

Step1: Calculate the ratio of the painting's sides

The painting has dimensions \(10.28\) in and \(28.28\) in. The ratio is \(\frac{10.28}{28.28}\approx0.363\)

Step2: Calculate the ratios for each postcard

• Postcard A: Sides are \(3\) in and \(3\) in. Ratio \(\frac{3}{3} = 1\)
• Postcard B: Sides are \(8\) in and \(4\) in. Ratio \(\frac{4}{8}=0.5\)
• Postcard C: Sides are \(6.05\) in and \(16.65\) in. Ratio \(\frac{6.05}{16.65}\approx0.363\)

Answer:

Postcard C could be the same shape as the painting.