SOLUTION: A building in a city has a rectangular base. The length of the base measures 70 ft less than three times the width. The perimeter of the base is 900 ft. What are the dimensions o

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Question 989348: A building in a city has a rectangular base. The length of the base measures
70 ft less than three times the width. The perimeter of the base is 900 ft. What are the dimensions of the base?
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

A building in a city has a rectangular base.
if the length L of the base measures 70ft less than three times the width W, we have
L=3W-70ft
if the perimeter P=2%28L%2BW%29 of the base is 900ft, than
2%28L%2BW%29=900ft.....substitute 3W-70ft for L
2%283W-70ft%2BW%29=900ft...........solve for W
2%284W-70ft%29=900ft
8W-140ft=900ft
8W=900ft%2B140ft
8W=1040ft
W=1040ft%2F8
highlight%28W=130ft%29
now find L:
L=3W-70ft
L=3%2A130ft-70ft
L=390ft-70ft
highlight%28L=320ft%29

so, the dimensions of the base are:highlight%28L=320ft%29, highlight%28W=130ft%29