Question

2. The base of a parallelogram is (2x+3) units and the corresponding height is (2x-3)
units. Find the area of the parallelogram in terms of x. What will be the area of
parallelogram of x=30 units?​

Answer 1

★ Given:

Base of parallelogram = 2x + 3

Corresponding height = 2x - 3

x = 30 units

★ To Find:

The area of the parallelogram.

★ Solution:

Area of a parallelogram = bh

First, we have to find the area in terms of x.

So, area = (2x + 3) (2x - 3)

This is in the form (a + b) (a - b) which is a² - b².

So, (2x + 3) (2x - 3)

= (2x)² - 3²

= 4x² - 9

We are also given that the value of x as 30 units.

So substituting the value of x as 30 in the expression 4x² - 9.

= 4 x 30² - 9

= (4 x 900) - 9

= 3600 - 9

= 3591 unit²

Therefore the area of the parallelogram:

→ In terms of x = 4x² - 9

→ In terms of x = 30 units = 3591 unit²

Important Area Formulae:

→ Area of a square = a²

→ Area of a rectangle = lb

→ Area of a circle = πr²

→ Area of parallelogram = bh

→ Area of rhombus = bh (or) 1/2 x d1 x d2