Respuesta :
The area of the rectangle is decreased by 75%, when the dimensions of a rectangle are decreased by 50%.
What is Area of rectangle?
The area of the rectangle is the multiplication of length and width.
Area = l × b
It is given that: length and breadth is by 50%
New Length = l × (1-50/100)
= l × (1-1/2)
= l/2
New Width = b × (1-50/100)
= b × (1-1/2)
= b/2
New area = new length × new width
= (l/2) x (b/2)
= lb/4
Change percent =[tex]\frac{Final Area\;-\; Initial Area}{Initial Area} * 100[/tex]
= [tex]\frac{(lb/4)\;-\; lb}{lb} * 100[/tex]
= (- 3lb)/4× 100
= (-3)/4 × 100
= -75%
Hence, the area decreased by 75 %.
Learn more about area of rectangle here:
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