Question
Download Solution PDFAn agricultural field is in the form of a rectangle having length X1 meters and breadth X2 meters. (X1 and X2 are variables). If X1 + X2 = 40 meters, then the area of the agricultural field will not exceed which one of the following values?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Length of rectangle (X1) + Breadth of rectangle (X2) = 40 meters
Formula used:
Area of rectangle = X1 × X2
To maximize the area, for a fixed perimeter, the rectangle should be a square.
X1 = X2 when maximized
Calculations:
X1 + X2 = 40
⇒ X1 = X2 = 20 meters (when area is maximized)
Area = X1 × X2
⇒ Area = 20 × 20
⇒ Area = 400 sq. meters
∴ The correct answer is option (1).
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