SOLUTION: If each side of square is increased by 5 cm, the total area of both the new square and the original square will be 200 cm2. Approximate to the nearest tenth of a centimeter the len

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: If each side of square is increased by 5 cm, the total area of both the new square and the original square will be 200 cm2. Approximate to the nearest tenth of a centimeter the len      Log On


   

Question 1066781: If each side of square is increased by 5 cm, the total area of both the new square and the original square will be 200 cm2. Approximate to the nearest tenth of a centimeter the length of each side of the original square.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
FOUR sides on a square shape. Still, increase each side by 5 units means increasing each dimension (two of them) by 5 units each.

Old square:
x%5E2

New square:
%28x%2B5%29%5E2


Both areas together given as 200%2Acm%5E2
x%5E2%2B%28x%2B5%29%5E2=200
Simplify this and solve.
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2x%5E2%2B10x%2B25=200
2x%5E2%2B10x-175=0

x=%28-10%2Bsqrt%28100%2B4%2A2%2A175%29%29%2F%282%2A2%29

x=%28-10%2B10sqrt%2815%29%29%2F4

x=%28-5%2B5%2Asqrt%2815%29%29%2F2