Question

A building in a city has a rectangular base. The length of the base measures 75ft less than twice the width. The perimeter of this base 810 ft. What are the dimensions of the base?

Answer 1

given,
Length(L)=(2*width(w))-75, ----- (1)
Perimeter of rectangle(p)=2(L+w)=810 ----- (2)
Sustituting equation 1 in 2
2(2*w-75+w)=810
2(3w-75)=810
3w-75=405
3w=480
w=160
substitute the value of w in in equation#2
2(L+160)=810
L=245
The dimensions of base is 245*160