Maths-

General

Easy

Question

# Find the area of the green rectangle.

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 = 10x^{2} + 20x + 4x + 8

Area of rectangle = 10x^{2} + 24x + 8

- Final Answer:

Hence, area of green rectangle is 10x^{2} + 24x + 8.

- Given:

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