An agricultural field is in the form of a rectangle having length X1 meters and breadth X2 meters X1...........

Math and Mental Ability Mensuration 2D

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?

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400 sq m

300 sq m

200 sq m

80 sq m

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Explanation:

Area of the field will be maximum when both sides of rectangle are equal. This is a basic mathematical theorem. “will not exceed” in the question means “what is the maximum possible”. Therefore x₁ = x₂ = 20 meters (because x₁ + x₂ = 40 is given). Max. Area = 20 × 20 = 400 sq. m.