The length of a rectangle is greater than the
bread by 3 cm. If the lingth is incres
a am and the breadth is reduced by
5 cm, the area remains the same
find the dimentsions of the rectangle
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Answers
Answer:
To solve for speed or rate use the formula for speed, s = d/t which means speed equals distance divided by time. To solve for time use the formula for time, t = d/s which means time equals distance divided by speed.
Answer:
The length of a rectangle is greater than the bread by 3 cm. If the lingth is increase a am and the breadth is reduced by 5 cm, the area remains the same find the dimentsions of the rectangle.
Step-by-step explanation:
Let the breadth of the rectangle be X cm
Then, the length of the rectangle be (x+3)cm
∴ Area of the rectangle =(x+3)×x cm^2
−−−−−(1)
Given that
Length is increased by 9=x+3+9=x+12cm
and, breadth is reduced by 3=x−3cm
Now,
Area of new rectangle (x+12)×(x−3)cm^2 −−−−−(2)
But in the given question we have given that the both area is same
then we can get
(x+3)×x=(x+12)×(x−3)
⇒x^2+3x=x^2+12x−3x−36
⇒6x=36
∴x=6
Now,from equation(1)
Area of the rectangle=(x+3) × X
=(6+3)6
=54cm^2
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