The lenght and breadth of a rectangle are (x + 7) units
and (x+4) units. If each side is reduced by 3 units
then the area of rectangle formed reduced by
(a)6(x+4)units
(b) (16x+24)units
(c)6(x-4) units
(d) (-16x -24) units
Answers
Answered by
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Step-by-step explanation:
l=(x+7)
b=(x+4)
Area of rectangle =l×b
=(x+7)(x+4)
=x²+(7+4)x+28
=x²+11x+28
A/Q
l'=(x+7-3)
l'=(x+4)
b'=(x+4-3)
b'=(x+1)
Area of new rectangle=l'×b'
=(x+4)(x+1)
=x²+(4+1)x+4
=x²+5x+4
Area of rectangle reduced=(x²+11x+28)-(x²+5x+4)
=x²+11x+28-x²-5x-4
=6x-24
=6(x-4)units
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