A building in a city has a rectangular base.The length of the base measures 65 ft less than twice the width.The perimeter of this base is 920 ft. What are th

Question

the width of the base is  ft

Answer 1

Your perimeter equals 2*base + 2*width.  So let's say P=2b+2w.  Also P=920

We know that the base is 65 feet less than twice the width, so...  B = 2W - 65

Use the formula P=2b+2w and substitute the value of B in terms of W, so...

P=2b+2w or   P = 2(2W-65) + 2W     P = 4W-130+2W     P=6W-130    920=6W-130    1050=6W   W=175ft

 

To double check this answer, plug 175ft back into the formula  P=2b+2w   920=2*285 + 2*175  920=920  Correct !