length of a rectangular blackboar is 8m more than its breadth.If it's length is increased by 7m and its breadth is decreased by 4m, its area remain unchanged. what is the length of the blackboard?
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Let the breadtg of blackboard be x
=> lenght of black borad =x+8
Now
New, lenght of blackboard be =x+8+7
=x+15
Breadth of blackboard = x-4
Given the area is equal. In both case
=> x+8*x = (x+15)*(x-4)
x^2 +8x= x^2-4x+15x-60
60= 11x+x^2-8x-x^2
60=3x
x=60/3
x=20
Lenght of blackboard =x+8
=20+8
=28
=> lenght of black borad =x+8
Now
New, lenght of blackboard be =x+8+7
=x+15
Breadth of blackboard = x-4
Given the area is equal. In both case
=> x+8*x = (x+15)*(x-4)
x^2 +8x= x^2-4x+15x-60
60= 11x+x^2-8x-x^2
60=3x
x=60/3
x=20
Lenght of blackboard =x+8
=20+8
=28
divya1261:
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