Calculate Proportional Price: 50x70cm to 70x98cm Painting Problem

The price of a painting of 50 cm by 70 cm is 109$. A painting with a height of 70 cm and 98 cm has been sold, what is the price of the painting?

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Step-by-step video solution

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00:00 Find the price of the larger picture
00:03 Find the similarity ratio
00:22 According to the sides ratio, we showed that the polygons are similar
00:32 The area ratio equals the similarity ratio squared
00:43 Make sure to square both numerator and denominator
00:56 The payment ratio equals the similarity ratio
00:59 Let's mark the new price with X
01:03 Multiply by the reciprocal to isolate X
01:12 And this is the solution to the question

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The price of a painting of 50 cm by 70 cm is 109$. A painting with a height of 70 cm and 98 cm has been sold, what is the price of the painting?

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Final Answer

213

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