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Maths-

General

Easy

Question

Find the area of the green rectangle.

hint 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 green rectangle is 14x2 + 11x + 2.

Answer:

Step by step explanation:

Given:

Length (l) = 7x + 2 units
Breadth (b) = 2x + 1 units

Step 1:

Find area of green rectangle.

So,
Area of rectangle = l × b
Area of rectangle = (7x + 2) × (2x + 1)

Step 1:

Product of polynomials.

Area of rectangle = (7x + 2) × (2x + 1)
Area of rectangle = 7x × (2x + 1) + 2 × (2x + 1)
[ a (b + c) = ab + ac ]
Area of rectangle = 14x² + 7x + 4x + 2
Area of rectangle = 14x² + 11x + 2

Final Answer:

Hence, area of green rectangle is 14x² + 11x + 2.

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