Question

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?

Answer 1

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`