A farmer has a square plot of land where he wants to grow five different crops at a time .In half of the area in the middle he wants to grow wheat but in the rest four equal triangular parts he wants to grow different crops.
State true or false:
The relation formed between the area of triangle and area of parallelogram is 2× base × height.

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True

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answer is A.

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Detailed Solution

The above statement is true.
Question Image

  ●        Let ABCD is a square area in the middle square field ABCD four equal triangular .
●        So,we first mark the midpoints of the sides of square field ABCD i,e P,Q,R and S of the respective sides AB,BC ,CD and DA
●        Now ,points P,Q,R and S square field are divided into five parts.
●        The farmer can grow five different crops.
●        Middle field PQRS farmers will grow wheat and the rest triangular parts (i, ii, iii, iv ) the farmer will grow the rest of the four different crops.
Now,
Area of triangle =½ x area of parallelogram Area of parallelogram =base x height
Area of triangle =½ x base x height
Area of 4 triangle =4 x 1/2 x base x height
=2 x base x height

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