The perimeter of a rectangle is 70 cm. if its length is decreased by 5 cm and its width is increased by 5 cm, its area will increase by 50 cm2. find the length and the width of the original rectangle.

The length of the rectangle is 25cm and the width of the rectangle is 45cm and this can be determine by forming the linear equations.

Given :

Let 'a' be the length of the rectangle and 'b' be the width of the rectangle. Than the perimrter of the rectangle will be:

a + b = 70  ---- (1)

Now, the area of the rectangle will be:

a = 25

Now, put the value of 'a' in equation (1).

b = 70 - 25 = 45

b = 45

Therefore, the length of the rectangle is 25cm and the width of the rectangle is 45cm.

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