SOLUTION: The smaller of two similar rectangles has dimensions of 4 and 6. Find the dimension of the larger rectangle if the ratio of the perimeters is 2 to 3

Question 1202923: The smaller of two similar rectangles has dimensions of 4 and 6. Find the dimension of the larger rectangle if the ratio of the perimeters is 2 to 3
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
small rectangle
dimensions 4 and 6
perimeter

large rectangle
dimensions x and y
perimeter

Ratio of Perimeters is 2 to 3.

As given, these rectangles are also SIMILAR.
.

system can be .

simple substitution is obvious.
-----from which,..... !
.
.
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

The response from the other tutor shows an exceedingly tedious method for setting up the problem...!

If the ratio of the perimeters is 2:3, then the ratio of each of the dimensions is 2:3.

smaller dimension of larger rectangle: 4(3/2) = 6
larger dimension of larger rectangle: 6(3/2) = 9

ANSWER: 6 by 9

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