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Asked: 2022-10-30T22:14:32+05:30 In:

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?
1. 400 sq m
2. 300 sq m
3. 200 sq m
4. 80 sq m

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?
1. 400 sq m
2. 300 sq m
3. 200 sq m
4. 80 sq m
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1 Answer

  1. Correct Answer – Option 1 : 400 sq m

    Given 

    length of rectangle  = X1

    Breadth of rectangle = X2

    Formula Used 

    Area of rectangle = Length × Breadth 

    Calculation 

    ⇒ X1 + X2 = 40 

    ⇒ We know that, all the rectangle, a square has largest area 

    ⇒ For given rectangle to be square X1 = X2

    ⇒ X1 = X2 = 20 (for maximum area) 

    ⇒ so Maximum Area = 20 × 20 = 400 sq m

     

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