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An old picture frame has dimensions 33 inches by 24 inches. What one length must be cut from each dimension so that the ratio of the shorter side to the longer side is 2/3?

Respuesta :

musiclover10045

Let the length you need to cut = X

The new dimensions would be 33-x and 24-x

The ratio needs to be 2/3

So you have (24-x) / (33-x) = 2/3

Cross multiply:

2(33-x) = 3(24-x)

Simplify:

66 - 2x = 72 - 3x

Add 3x to each side:

66+x = 72

Subtract 66 from both sides:

x = 6

You would need to cut 6 inches off of each dimension.

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