The length of a rectangle is greater than the breadth by 3 cm. 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 rectangle.
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Answer:
B = 15 cm
L = 18 cm
Step-by-step explanation:
Let ,
B be x cm
L be ( x+3 ) cm
Area = L× B
= ( x+3 ) × x
= (x sq.+3x) cm sq.
reducing breadth by 5 = x-5 cm
increasing length by 9 = x+3+9
= x + 12 cm
New area = L× B
= ( x+12 )( x+5 )
= x sq. +7x -60
A/Q : both areas are equal
x sq. +3x = x sq. +7x -60 ( x sq. cancelled )
3x - 7x = -60
- 4x = -60 ( - cancelled )
x = 60/4
x = 15
Breadth = 15 cm
Length = x + 3
= 15 + 3
= 18 cm
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