Answer:
Therefore the Dimensions of Building are
[tex]Length = 310\ ft\\Width=125\ ft[/tex]
Step-by-step explanation:
Given:
Let the length of the Base be ' L '
and Width of the Base is 'W'
According to given Condition
[tex]L = 3W -65[/tex]
Perimeter = 870 ft
To Find:
L = ?
W = ?
Solution:
Perimeter of Rectangle base is given as
[tex]Perimeter=2\times L +2\times W[/tex]
Substitute 'L' and Perimeter we get
[tex]870=2\times (3W-65) +2\times W\\870=6W-130+2W\\8W=870+130=1000\\W=\dfrac{1000}{8}=125\\\\\therefore W =125\ ft[/tex]
Substitute 'W' in L we get
[tex]L = 3\times 125 -65=310\ ft[/tex]
Therefore the Dimensions of Building are
[tex]Length = 310\ ft\\Width=125\ ft[/tex]
