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Maths-

General

Easy

Question

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

hint 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)
= 15p² - 21pq + 25pq - 35q²
= 15p² + 4pq - 35q² sq. units

Final Answer:

Hence, the area of the rectangle is 15p² + 4pq - 35q² sq. units.

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