SOLUTION: the area of a square is directly proportional to the square of its diagonal. if the area of a square having a diagonal 16 cm long is 128 cm^2, what is the area of a square having d

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: the area of a square is directly proportional to the square of its diagonal. if the area of a square having a diagonal 16 cm long is 128 cm^2, what is the area of a square having d      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1142982: the area of a square is directly proportional to the square of its diagonal. if the area of a square having a diagonal 16 cm long is 128 cm^2, what is the area of a square having diagonal 24 cm long?
Answer by ikleyn(52847) About Me  (Show Source):
You can put this solution on YOUR website!
.

Use the proportion


    16%2F128 = 24%2Fx.


From the proportion, find


    x = %2824%2A128%29%2F16 = 192 cm^2.    ANSWER