Maths-
General
Easy

Question

Find the area of the rectangle.

hintHint:

  • Hint:
    • Area of rectangle is given by product of length and breadth.
    • Area of rectangle = length × breadth.
    • Area of rectangle = l × b
    • Distributive property: a (b + c) = ab + ac

The correct answer is: Hence, area of rectangle is 8x2 + 12x - 8.


    Answer:
    Step by step explanation: 
        • Given:
        • Length (l) = 2x + 4 unitsBreadth (b) = 4x - 2 units
          • Step 1:
          • Find area of rectangle.So,
            Area of rectangle = l × b
            Area of rectangle = (2x + 4) × (4x - 2)
            • Step 1:
            • Product of polynomials.
            Area of rectangle = (2x + 4) × (4x - 2)
            Area of rectangle = 2x × (4x - 2) + 4 × (4x - 2)
            [ a (b + c) = ab + ac ]
            Area of rectangle = 8x2 - 4x + 16x - 8
            Area of rectangle = 8x2 + 12x - 8
            • Final Answer:
            Hence, area of rectangle is 8x2 + 12x - 8.

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