The length of a rectangle is (3x+2) units and it’s breadth is (3x–2) units. Find its area in
terms of x. What will be the area if x = 20 units.
Answers
Answered by
60
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area of rectangle=l×b
(3x+2)(3x-2)
9x^2-6x+6x-4
9x^2-4
if x=20 units then,
9×400-4
3600-4
3596 units
mark me branliest dear
area of rectangle=l×b
(3x+2)(3x-2)
9x^2-6x+6x-4
9x^2-4
if x=20 units then,
9×400-4
3600-4
3596 units
mark me branliest dear
Answered by
44
‼
The length of rectangle, L = ( 3x + 2 ) units
And breadth, B = ( 3x – 2 ) units
As we know,
Area of rectangle = length × breadth
= ( 3x + 2 ) × ( 3x – 2 )
= ( 3x )² – ( 2 )²
= 9x² – 4
Given that, x = 20
substituting x = 20 in the above equation :
= 9( 20 )² – 4
= 9 ( 400 ) – 4
= 3600 – 4
= 3596 units²
Hence, the area of rectangle is 3596 units² .
The length of rectangle, L = ( 3x + 2 ) units
And breadth, B = ( 3x – 2 ) units
As we know,
Area of rectangle = length × breadth
= ( 3x + 2 ) × ( 3x – 2 )
= ( 3x )² – ( 2 )²
= 9x² – 4
Given that, x = 20
substituting x = 20 in the above equation :
= 9( 20 )² – 4
= 9 ( 400 ) – 4
= 3600 – 4
= 3596 units²
Hence, the area of rectangle is 3596 units² .
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