SOLUTION: A rectangle is 30 cm long and 16 cm wide. Its diagonal is labeled 3x - 2. What is the value of x? 8 cm 10 cm 12 cm 14 cm

Algebra ->  Rectangles -> SOLUTION: A rectangle is 30 cm long and 16 cm wide. Its diagonal is labeled 3x - 2. What is the value of x? 8 cm 10 cm 12 cm 14 cm      Log On


   

Question 622121: A rectangle is 30 cm long and 16 cm wide. Its diagonal is labeled 3x - 2. What is the value of x?
8 cm
10 cm
12 cm
14 cm
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Use the Pythagorean theorem to solve for the diagonal. then use that result to solve for x
a%5E2+%2B+b%5E2+=+c%5E2
30%5E2+%2B+16%5E2+=+c%5E2
900+%2B+256+=+c%5E2
34+=+c
Now solve
3x+-+2+=+34
3x+=+36
x+=+12
answer C.