The length of the base measures 65 ft less than three times the width. The perimeter of this base is 870 ft. What are the A building in a city has a dimensions of the base?

Question

asked Sep 17, 2021 197k views

1 Answer

Antonio Carlos · Answer 1 · 2021-09-22T21:45:12+0000

Answer:

Therefore the Dimensions of Building are

$Length = 310\ ft\\Width=125\ ft$

Explanation:

Given:

Let the length of the Base be ' L '

and Width of the Base is 'W'

According to given Condition

L = 3W -65

Perimeter = 870 ft

To Find:

L = ?

W = ?

Solution:

Perimeter of Rectangle base is given as

Perimeter=2* L +2* W

Substitute 'L' and Perimeter we get

$870=2* (3W-65) +2* W\\870=6W-130+2W\\8W=870+130=1000\\W=(1000)/(8)=125\\\\\therefore W =125\ ft$

Substitute 'W' in L we get

$L = 3* 125 -65=310\ ft$

Therefore the Dimensions of Building are

$Length = 310\ ft\\Width=125\ ft$