# The length of a rectangle is 15 cm more than its width. The perimeter is 150 cm. Find the dimensions of the rectangle.

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by yapu

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by yapu

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Let the breadth=x

the length =x+15

given perimeter= 150

we know

Perimeter of rectangle = 2(l+b)

150 = 2( x+ x+15)

75 = 2x +15

60 = 2x

30=x

therefore breadth = 30 cm

length = 30 +15 = 45 cm

check

150 = 2( 45+30)

150 = 2(75)

150 = 150

LHS=RHS

hence prooved

the length =x+15

given perimeter= 150

we know

Perimeter of rectangle = 2(l+b)

150 = 2( x+ x+15)

75 = 2x +15

60 = 2x

30=x

therefore breadth = 30 cm

length = 30 +15 = 45 cm

check

150 = 2( 45+30)

150 = 2(75)

150 = 150

LHS=RHS

hence prooved