Maths-

General

Easy

Question

# Two sides of a rectangle are (3p+5q) units and ( 5p-7q ) units. What is its area?

Hint:

### The concept used in the question is the area of a rectangle.

The area of the rectangle is the product of sides.

## The correct answer is: Hence, the area of the rectangle is 15p2 + 4pq - 35q2 sq. units.

### Answer:

Step by step explanation:

○ Given:

Two sides of a rectangle

(3p+5q) units and ( 5p-7q ) units.

○ Step 1:

We know, the area of rectangle is product of its sides

i.e. area = side × side

So,

Area = (3p+5q) × (5p-7q)

= 3p (5p -7q) + 5q(5p-7q)

= 15p^{2} - 21pq + 25pq - 35q^{2}

= 15p^{2} + 4pq - 35q^{2} sq. units

- Final Answer:

Hence, the area of the rectangle is 15p^{2} + 4pq - 35q^{2} sq. units.

^{2}- 21pq + 25pq - 35q

^{2}

^{2}+ 4pq - 35q

^{2}sq. units

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