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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 10x2 + 24x + 8.

Answer:
Step by step explanation:

Given:

Length (l) = 5x + 2 units
Breadth (b) = 2x + 4 units

Step 1:

Find area of green rectangle.

So,
Area of rectangle = l × b
Area of rectangle = (5x + 2) × (2x + 4)

Step 2:

Product of polynomials.

Area of rectangle = (5x + 2) × (2x + 4)
Area of rectangle = 5x × (2x + 4) + 2 × (2x + 4)
[ a (b + c) = ab + ac ]
Area of rectangle = 10x² + 20x + 4x + 8
Area of rectangle = 10x² + 24x + 8

Final Answer:

Hence, area of green rectangle is 10x² + 24x + 8.

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