SOLUTION: A rectangular picture frame measures 8cm by 4cm. You want to triple the frames area by adding the same distance x to the length ad the width. Write and solve an equation to find th

Question 874880: A rectangular picture frame measures 8cm by 4cm. You want to triple the frames area by adding the same distance x to the length ad the width. Write and solve an equation to find the value of x. What are the new dimensions?
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
Initial area of the picture frame is 32 cm^2, now we want to triple the frames area. Therefore
(8+x)(4+x)=96
x^2 +12x +32=96
x^2 +12x -64 = 0
(x+16)(x-4)=0
x=4 is the additional quantity to add to the dimensions of the frame
New dimensions of the picture frame are 12 by 8

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