length of a rectangle is 6 CM more than its wide if its length and breadth is decreased by 3 cm the area of a rectangle is decreased by 36 square centimetre find the original length and the breadth of the
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Answer:
length of rectangle=10.5 cm
width of rectangle=4.5 cm
Step-by-step explanation:
let the width of the rectangle be x cm. So, the length of the rectangle will be (x+6)cm
area of the rectangle would be (x^2+6x)cm^2
New width=x-3 cm
new length = x+3 cm
new area=(x^2-9)cm^2
according to the question,
x^2+6x=x^2-9 +36
6x=27
x=9/2 cm
x= 4.5 cm= width of rectangle
length of rectangle=10.5 cm
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