the breadth of a rectangle is 4 cm les than its length. il the length is increased by 4 cm and the breadth is decreased by 1 cm , the area of the rectangle is increased by 40cm square . find the length and breadth of the rectangle.
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Answer:
Length-20cm
Breadth-16cm
Step-by-step explanation:
If breadth=x
length =x+4
Area=x(x+4)=x2+4x
New area
Length =x+8
Breadth =x-1
Area=(x+8)(x-1)=x2+7x-8,which is original area+40
X2+7x-8=x2+4x+40
x2-x2+7x-4x=40+8
3x=48
x=16
Length =x+4=20
Breadth =x=16
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