Answer:
18.8 ft
20.8 ft
Step-by-step explanation:
Given that :
Dimension of rectangular patio:
13 feets * 15 feets
To double the area of The patio :
2 * initial. Area
Initial Area = area of rectangle = Length * width
Initial area = 13 * 15 = 195ft²
New area of patio = 2 * 195 ft² = 390 ft²
To obtain the new area, the length and width of patio increased in equal amount:
Let the Increment = x
Hence,
(length + x) * (width + x) = 390
(13 + x) * (15 + x) = 390
195 + 13x + 15x + x² = 390
195 + 13x + 15x + x² - 390 = 0
x² + 28x - 195 = 0
Using the quadratic equation solver to save computation time :
The roots are :
X = - 33.773 or 5.773
Dimension can't be negative, hence,
x = 5.773
New dimension :
(length + x) = 13 + 5.773 = 18.8 ft
(width + x) = 15 + 5.773 = 20.8 ft
