SOLUTION: A rectangle is cut by 6 lines parallel and 8 lines perpendicular to the base. Find the total number of rectangles thus formed

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Question 1189754: A rectangle is cut by 6 lines parallel and 8 lines perpendicular to the base. Find the total number of rectangles thus formed
Answer by ikleyn(52776) About Me  (Show Source):
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A rectangle is cut by 6 lines parallel and 8 lines perpendicular to the base.
Find the total number of rectangles thus formed
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First 6 cuts made 7 = 6+1  strips parallel to the base.

Next 8 cuts perpendicular to the base cut each of 7 parallel strips in 9 = 8+1 small rectangles.


Total number of small cut rectangles is the product 7*9 = 63.    ANSWER