Find the total number of rectangle possible in the given L'shaped grid.
Answer is 900, provide explanation and solution.
koi hai kya .
Answers
Answer:
Find the total number of rectangle possible in the given L'shaped grid.
Answer is 900, provide explanation and solution.
koi hai kya .
Answer:
Step-by-step explanation:
In a simple rectangle of m × n dimension , total number of rectangles are
Think of this like choosing vertexes of rectangles from m + 1 and n + 1 options ( count number of lines they will be one more then boxes ).
Now First take 10 × 4 vertical portion , total no. of rectangles in it will be
Now take 9 × 4 horizontal portion , rectangles in it are
But note that rectangles those are in common area of 4 × 4 has been counted twice , such rectangles are
So we will minus these rectangles I.e. require
number of rectangles will be
Explanation:
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