What is the equation for the perimeter of any rectangle whose width is 8 cm less than its length?

1 Answer
Feb 23, 2016

#(4x-16)cms#

Explanation:

Let the length be #color(red)(x#

Then,

The width will be written as #color(red)(x-8#

(Width of rectangle is #8cm# less than length )

Perimeter of rectangle=#color(blue)(2(l+b)units#

So,Substitute #color(red)(x# and #color(red)(x-8#

#rarr2(color(red)((x)+(x-8)))#

Remove brackets

#rarr2(color(red)(x+x-8))#

#rarr2(color(red)(2x-8))#

Use distributive property #color(brown)(a(b+c)=ab+ac#

#rArrcolor(green)(=4x-16cms#