Question

The base of a paralleogram is 2x +3 unit and the corresponding height is 2x -3 unit find the area of the paralleogram is terms of x .What will be the area of a polleraogran of x= 30 unit .

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Answer 1

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Answer 2

Hi ,

According to the problem given,

base of the parallelogram ( b ) = (2x + 3) units

corresponding height ( h ) = ( 2x - 3 ) units

we know that ,

Area of the parallelogram ( A ) = bh square units


A = ( 2x + 3 ) × ( 2x - 3 )

= ( 2x )² - 3²

[ since ( a + b ) ( a - b ) = a² - b² ]

A = ( 4x² - 9 ) square units.----( 1 )

if x = 30 units

then

area of the parallelogram = 4(30)² - 9

A = 3600 - 9

A = 3591 square units.

I hope this helps you.

:)