Question

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

Pls help as I'm preparing for my exams

Answer 1

Answer:

Hope this helps you..

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All the Best for your exams

Step-by-step explanation:

let the breadth=x

the length  =x+15

given perimeter= 150

Perimeter of rectangle = 2x(l+b)

150 = 2( x+ x+15)                            

75 = 2x +15

60 = 2x

30=x  

therefore breadth = 30 cm  

length   = 30 +15  = 45 cm

Verification:

150 = 2( 45+30)

150 = 2(75)

150 = 150  

LHS=RHS

Hence, proved..

Answer 2

Answer:

Step-by-step explanation:

Let the breadth(b) be x . Then by the question

Length (L) = ( x + 15 )cm

Perimeter = 150 cm

or 2( L + b) = 150

2 ( x + 15 + x ) = 150

2x + 15 = 75

2x = 75 - 15

2x = 60

x = 30 cm

Therefore breadth or width is 30 cm

Similarly

Length = 30 + 15 = 45

hope it helps :)