Question

A rectangle’s length is 6 cm less than twice its width. If the length is decreased by 4 cm and width is increased by 3 cm; the perimeter of resulting rectangle will be 100 cm. find the length and width of the original rectangle

Answer 1

Step-by-step explanation:

Let width of rectangle be W

∴  length would be  L=2W−5

If the length is decreased by 5cm, then new L1=2W−10cm  

and width is increased by 2cm, new width W1=W+2cm  

Given, Perimeter =74cm

=>2(2W−10+W+2)=74

=>3W−8=37

=>3W=45

=>W=15cm

=>L=2W−5=2(15)−5=25cm