SOLUTION: A rectangular painting has dimensions x and x + 10. The painting is in a frame 2 in. wide. The total area of the picture and the frame is 900 in. sq. What are the dimensions of the

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Question 77284This question is from textbook
: A rectangular painting has dimensions x and x + 10. The painting is in a frame 2 in. wide. The total area of the picture and the frame is 900 in. sq. What are the dimensions of the painting? This question is from textbook

Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
(x+4)(x+14)=900
x^2+18x+56-900=0
x^2+18x-844=0
using the quadratic equation we get
X=(-18+-SQRT[18^2-4*1*-844])/2*1
X=(-18+-SQRT[324+3376])/2
X=(-18+-SQRT3700)/2
X=(-18+-60.828)/2
X=(-18+60.828)/2
X=42.828/2
X=21.414 & 21.414+10=31.414 ARE THE PICTURE DIMENSIONS
PROOF
(21.414+4)(21.414+14)=900
25.414*35.414=900
900=900