The length of a rectangle is 3cm more than its breadth. If lenght and breadth both are each increased by 2cm , the area of the new rectangle will be 49cm^2 more than that of the given rectangle. Find lenghtn and breadth of the given rectangle.
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length...w+3
width...w
area=(width)(length)
70=w(w+3)
70=w2+3w
0=w2+3w-70
0=(w...)(w...)
We need two numbers that when added together have a sum of +3, and when multiplied together have a product of -70. The larger number must be positive while the smaller number must be negative.
0=(w+10)(w-7)
Either or both parenthetical equations must equal zero...
0=w+10...w=-10
A dimension cannot be a negative number.
0=w-7
w=7
Width is 7 cm, length is 10 cm
width...w
area=(width)(length)
70=w(w+3)
70=w2+3w
0=w2+3w-70
0=(w...)(w...)
We need two numbers that when added together have a sum of +3, and when multiplied together have a product of -70. The larger number must be positive while the smaller number must be negative.
0=(w+10)(w-7)
Either or both parenthetical equations must equal zero...
0=w+10...w=-10
A dimension cannot be a negative number.
0=w-7
w=7
Width is 7 cm, length is 10 cm
123462:
You tried your best. But the answer is : length = 12.75 and breadth = 9.75
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