Posted by **Shannon** on Tuesday, June 28, 2011 at 3:16pm.

A rectangular plot is 30 feet long and 20 feet wide. The area will be doubled by adding a strip at one end and another strip of the same width on one side. What would be the width of the strip?

- alg 2 -
**Henry**, Thursday, June 30, 2011 at 11:55am
A = L*W = 30 * 20 = 600F^2.

Width = X feet.

A = (30+X) * (20+X) = 1200F^2,

600 + 30X + 20X + X^2 = 1200,

X^2 + 50X + 600 = 1200,

X^2 + 50X - 600 = 0,

(X-10)(X+60) = 0,

X - 10 = 0,

X = 10.

X+60 = 0,

X = - 60.

Select the + value of X:

X = 10 Feet.

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