An agricultural field is in the form of a rectangle having length X1 m

1.	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 m2. 300 sq m3. 200 sq m4. 80 sq m
Answer» 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

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 m2. 300 sq m3. 200 sq m4. 80 sq m

Answer» 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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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 m2. 300 sq m3. 200 sq m4. 80 sq m

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