An agricultural field is in the form of a rectangle having length X_1 meters and breadth X_2 meters
An agricultural field is in the form of a rectangle having length X1 meters and breadth X2 meters (X1 and X2 are variable). If X1 + X2 = 40 meters, then the area of the agricultural field will not exceed which one of the following values?
(a) 400 sq m
(b) 300 sq m
(c) 200 sq m
(d) 80 sq m
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(a) Given, length = x1m and breadth = x2m
Also, x1 + x2 = 40 where x1 and x2 are variables
We know that, of all the rectangles, a square has the largest area.
For the given rectangle to be a square x1 = x2
So, x1 + x2 = 40 ⇒ x1 = x2 = 20 m
Maximum area of the given rectangle = x1x2
= (20 × 20)m2 = 400 m2
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