Answer:
a) The original length of the garage is 19.13 feet.
b) The new length of the garage is 23.43 feet.
c) Percentage increase in the length of one side is 22.5%.
Step-by-step explanation:
The original area of the garage = 366 [tex]ft^{2}[/tex]
a) Area of a square = length x length (since it has equal length of sides)
= [tex]l^{2}[/tex]
So that;
366 = [tex]l^{2}[/tex]
l = [tex]\sqrt{366}[/tex]
= 19.131
The original length of the garage is 19.13 feet.
b) 50% more force base = 50% x 366
= 0.5 x 366
= 183
The new area of the garage = 366 + 183
= 549 [tex]ft^{2}[/tex]
So that;
549 = [tex]l^{2}[/tex]
l = [tex]\sqrt{549}[/tex]
= 23.431
The new length of the garage is 23.43 feet.
c) Increase in the length of one side = 23.431 - 19.131
= 4.3 ft
Percentage increase in the length of one side = [tex]\frac{4.3}{19.131}[/tex] x 100%
= 22.48 x 100%
≅ 22.5%
Percentage increase in the length of one side is 22.5%.
