the length of a rectangle is greater than the breadth by 3. if the length is increased by 9 cm. and the breadth is reduced by 5 cm , the area remains the same , find the dimensions of the reactangle
Answers
Answered by
4
Answer:
l=18cm b=15cm
Step-by-step explanation:
l=b+3
(l+9)*(b-5)=lb
lb+9b-5l-45=lb
9b-5l=45
9b-5(b+3)=45
9b-5b-15=45
4b=60
b=15cm
l=18cm
Answered by
4
Answer:
Step-by-step explanation:
Let the breadth be x cm .
Length = x + 3 cm.
Area of first rectangle = x * (x +3) ---- (1)
Now,
Given that length is increased by 9 cm = x + 3 + 9 = x + 12 cm.
Given that breadth is reduced by 5cm = x - 5 cm.
Area of the rectangle = (x+12)(x-5). -------------- (2)
Also given area of rectangle remains same.
x(x+3) = (x + 12)(x-5)
x² + 3x = x²+7x - 60
4x = 60
x = 15.
Thus Breadth = 15 cm.
Length = 15 + 3 = 18 cm.
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