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 2x2 + 7x + 3.

### Answer:

- Step by step explanation:

- Given:

Length (l) = x + 3 units

Breadth (b) = 2x + 1 units

- Step 1:
- Find area of green rectangle.

So,

Area of rectangle = l × b

Area of rectangle = (x + 3) × (2x + 1)

- Step 1:
- Product of polynomials.

Area of rectangle = (x + 3) × (2x + 1)

Area of rectangle = x × (2x + 1) + 3 × (2x + 1)

[ a (b + c) = ab + ac ]

Area of rectangle = 2x^{2} + x + 6x + 3

Area of rectangle = 2x^{2} + 7x + 3

- Final Answer:

Hence, area of green rectangle is 2x^{2} + 7x + 3.

- Step by step explanation:

- Given:

### Related Questions to study

Maths-

### Complete the factor pair for

### Complete the factor pair for

Maths-General

Maths-

### Multiply: x^{2} - 8x + 8 by 6x^{2} -3x + 4

### Multiply: x^{2} - 8x + 8 by 6x^{2} -3x + 4

Maths-General

Maths-

### Complete the factor pair for

### Complete the factor pair for

Maths-General

Maths-

### Use the difference of squares to find the product 56 × 44.

This question can be easily solved by using the formula

(a + b)(a - b) = a2 - b2

### Use the difference of squares to find the product 56 × 44.

Maths-General

This question can be easily solved by using the formula

(a + b)(a - b) = a2 - b2

Maths-

### Find the area of the green rectangle.

### Find the area of the green rectangle.

Maths-General

Maths-

### Complete the factor pair for

### Complete the factor pair for

Maths-General

Maths-

### (ℎ + 𝑘)(ℎ − 𝑘) =

### (ℎ + 𝑘)(ℎ − 𝑘) =

Maths-General

Maths-

### Find the product. (2𝑥 − 4)(2𝑥 + 4)

This question can be easily solved by using the formula

(a + b)(a - b) = a2 - b2

### Find the product. (2𝑥 − 4)(2𝑥 + 4)

Maths-General

This question can be easily solved by using the formula

(a + b)(a - b) = a2 - b2

Maths-

### Use the square of a binomial to find the value of 51^{2}.

### Use the square of a binomial to find the value of 51^{2}.

Maths-General

Maths-

### Subtract -5x^{2} from the sum of 3xy - 2x^{2 }+ 19 and 9y^{2} + 3x^{2} - 5.

### Subtract -5x^{2} from the sum of 3xy - 2x^{2 }+ 19 and 9y^{2} + 3x^{2} - 5.

Maths-General

Maths-

### Complete the factor pair for .

### Complete the factor pair for .

Maths-General

Maths-

### Find the product.

−4𝑥 (2𝑥^{2} − 3𝑥 + 5)

### Find the product.

−4𝑥 (2𝑥^{2} − 3𝑥 + 5)

Maths-General

Maths-

### Use the square of a binomial to find the value of 99^{2}.

### Use the square of a binomial to find the value of 99^{2}.

Maths-General

Maths-

### Use the square of a binomial to find the value of 71^{2}.

### Use the square of a binomial to find the value of 71^{2}.

Maths-General

Maths-

### Consider the following set of monomials.

Find subsets of A such that the GCF of its elements is 4x, 5x and y.

### Consider the following set of monomials.

Find subsets of A such that the GCF of its elements is 4x, 5x and y.

Maths-General