SOLUTION: The area of a square is 1.69 cm^2 The length of one side of the square is (3+2x)cm What is the value of x?

Algebra ->  Surface-area -> SOLUTION: The area of a square is 1.69 cm^2 The length of one side of the square is (3+2x)cm What is the value of x?      Log On


   

Question 937741: The area of a square is 1.69 cm^2
The length of one side of the square is (3+2x)cm
What is the value of x?
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
The area of a square is A=1.69cm%5E2
if the length of one side of the square is %283%2B2x%29cm, then
%283%2B2x%29cm%2A%283%2B2x%29cm=1.69cm%5E2
%283%2B2x%29%5E2cm%5E2=1.69cm%5E2...take square root of both sides
sqrt%28%283%2B2x%29%5E2cm%5E2%29=sqrt%281.69cm%5E2%29
%283%2B2x%29cross%28cm%29=1.3cross%28cm%29
3%2B2x=1.3
2x=1.3-3
2x=-1.7
x=-1.7%2F2
highlight%28x=-0.85%29
now find side:%283%2B2x%29cm
%283%2B2%28-0.85%29%29cm
%283-1.7%29cm
highlight%281.3cm%29
check the area:
1.3cm%2A1.3cm=1.69cm%5E2
1.69cm%5E2=1.69cm%5E2