Question

The length of a rectangle is 2 centimeters longer than its width,if the perimeter of the rectangle is 60cm,find its width and length?

Answer 1

Let the width of rectangle= x centimeter

According to condition length = (x+2) centimeter

As accoding to formula

perimeter of rectangle = 2( lenght +width)

so Perimeter = 2{(x+2) +(x)} equation 1

Give perimeter = 60cm equation 2

comparing equation 1 and equation 2

2{(x+2) +(x)} = 60

Solving 2{2x+2} =60

4x+4 =60

subtracting 4 both sides

4x= 56

dividing 4 both sides.

x=14 width of rectangle

AS we have assume length = x+2 ⇒ 14 +2

Length =16