Question

Yossi to have a square garage with 320 ft.² of floorspace he recently build an additional two it the garage is still a square but now has 50% more floor space what is the length of one side of the garage originally what is the length of one side of the garage now what is the percent increase is the length of one side

Answer 1

17.889 ; 21.909 ; 22.47%

Explanation:

Given that:

Initial area of square garage = 320ft²

Since the garage is a square, the sides are all equal;

Area of square = s² ; where s = side length

320 = s²

√320 = √s²

17.889 = s

Original length of 1 side of the garage = 17.889 ft

With a 50% increase ;

New area = (100 + 50)% * initial area

New area = 150% * 320

New area = 480ft²

Length of one side of New garage :

480 = s²

√480 = √s²

21.909 = s

% increase in length ;

((New length - old length) / old length) * 100%

((21.909 - 17.889) / 17.889) * 100%

(4.02/17.889) * 100%

= 22.47%