The measurement of the sides of a rectangle are given. Length=(2x+3)m ,(3x-5)m. Breadth =(2x-4)m .Find:(a)the value of x .(b)the area of the rectangle. (c)the perimeter of the rectangle.
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Step-by-step explanation:
Given that -
Length = (2x+3) m
Breadth = (2x-4) m
Perimeter of the rectangle = 2 ( l + b )
= 2 [ (2x+3) + (2x-4) ]
= 2 [ 2x + 3 + 2x - 4 ]
= 2 [ 4x - 1 ] m
Area of rectangle = L X B
= (2x+3)(2x-4)
= 4x² - 8x + 6x - 12
= ( 4x² - 2x - 12 ) m²
and also,
Perimeter of the rectangle = 2 ( l + b )
= 2 [ (3x-5) + (2x-4 ) ]
= 2 [ 3x-5 + 2x-4 ]
= 2 [ 5x - 9 ] m
Area of rectangle = L X B
= (3x-5) (2x-4 )
= ( 6x² - 12x - 10x + 20 )
= ( 6x² - 22x - 20 ) m²
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