A building in a city has a rectangular base. The length of the base measures 65ft less than twice the width. The perimeter of this base is 830ft. What are the dimensions of the​ base?

Answer 1

L=2w-65

2L +2W = 830= the Perimeter

L+W =830/2 = 415

2w-65 +w = 415

3w =415+65 = 480

w = 480/3 = 160 feet wide

L = 2w-65= 320-65 = 255 feet Long

dimensions are 160 by 255 feet

2(255+160) = 2(415)=830