SOLUTION: A wire of length 200 cm is cut in to two parts and each part is bent to form a square . If the area of the larger square is 9 times that of the smaller square , find the perimeter

Question 964079: A wire of length 200 cm is cut in to two parts and each part is bent to form a square . If the area of the larger square is 9 times that of the smaller square , find the perimeter of the larger square.
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
L=side of large square; S=side of small square

Use this to substitute for L.
Substitute for L.

Subtract S^2 from each side.
Add 100S to each side.
Subtract 2500 from each side.

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=90000 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 12.5, -25. Here's your graph:

S=12.5 cm
L=50cm-12.5cm=37.5cm
ANSWER: Perimeter of large square=4(37.5cm)=150 cm
CHECK:

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