The length of a rectangle is 1 cm more than its breadth A square of side 'p' has been cut out of it If 'p' is one third the breadth of the rectangle the remaining area is
A
(8p2+3p)cm2
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B
(3p2+8p)cm2
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C
(8p2+8)cm2
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D
(3p2+8)cm2
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Solution
The correct option is A(8p2+3p)cm2 Given that the side of square is p cm and Pis one third of breath of rectangle and length is 1 cm more the breadth rectangle
Then breadth =3p and length =3p+1
So area of rectangle =3p(3p+1)=3p(3p+1)=9p2+3p
If a square of side p cut in to rectangle
Then the area of square =p2
So Remaining area left of rectangle after cutting of square =9p2+3p+p2=(8p2+3p) sq cm