A building in a city has a rectangular base. The length of the base measures 70 ft less than twice the width. The perimeter of this base is 820 ft. What are the dimensions of the base?

160 ft, 250ft

Step-by-step explanation:

Rectangular base:

Width = w

length =2w - 70

Perimeter = 820 ft

2*(length + width) = 820

2*(2w - 70 + w ) = 820

2 *(2w + w - 70) = 820     {Combine like terms}

2* (3w - 70) = 820

3w*2 - 70*2 = 820

6w - 140  = 820    

6w  = 820 + 140     {Add 140 to both side}

6w = 960     {Divide both sides by 6}

w = 960/6

w = 160 ft

length = 2*160 - 70

          = 320 - 70

          = 250 ft

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