# algebra

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A rectangular piece of cardboard measures 17cm by 14cm. Strips of equal width are cut off one side and one end. The area of the remaining piece is 108cm^2. Find the width of the strips removed.

• algebra -

(17-w)(14-w) = 108
238 - 31w + w^2 = 108
w^2 - 31w + 130
(w-5)(w-26) = 0
w = 5 or 26

w=5, due to the size conditions.

12*9 = 108

• algebra -

12 * 9=108

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