Dominique drew two rectangles, RSTU and VWXY, so that RSTU ~ VWXY. The ratio of the perimeter of RSTU

ratio-of-perimeter

#1

Dominique drew two rectangles, RSTU and VWXY, so that RSTU ~ VWXY. The ratio of the perimeter of RSTU to the perimeter of VWXY is three-fourths. Given that the length of RSTU is twenty-four units and the width of RSTU is twelve units, determine the length of VWXY.

Answer:

Ans=32.
12+24=36. 3/4 =36/48. As the length is double the width in the ratio 2:1(by 24=2*12), we have Ans= (2/3)*48=32