A few days ago
Anonymous

Ratio problem?

A rectangle has a length of 6 in. and a height of 4 in. The length of the rectangle is increased by two times a certain number and the height is increased by two times the quantity of the number and 2. If the new dimensions of the rectangle are in the ratio of height:lenght, 24:23, what are the new dimensions of the rectangle?

Top 1 Answers
A few days ago
hayharbr

Favorite Answer

It depends on what “quantity” means: is it the quantity of the sum of the number and two, the product of the number and 2, the difference, or the quotient?

For example, if it is the sum:

The new length is 6 + 2x and the new height is 4 + 2(x+2) which is 4 + 2x + 4 or 2x + 8

So 2x + 8 over 6 + 2x = 24 over 23

Cross multiply to get 46x + 184= 48x + 144 which solved for x will give you the number to plug in to get the new height and length

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