Question

the length of a rectangle is 15 cm greater than its breath. its perimeter is 150cm. find the dimension of the rectangle​

Answer 1

Answer:

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

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Answer 2

Given :-

The length of a rectangle is 15 cm greater than its breath. its perimeter is 150cm

To Find :-

Dimension

Solution :-

Let the breadth be b and length will be b + 15

Perimeter = 2(l + b)

150 = 2(b + 15 + b)

150/2 = b + 15 + b

75 = b + 15 + b

75 = 2b + 15

75 - 15 = 2b

60 = 2b

60/2 = b

30 = b

Therefore

Breadth = b = 30 cm

Length = b + 15 = 30 + 15 = 45 cm