Answer:
Length = 40 feet
Width =30 feet
Explanation:
It is given that a rectangular patio measures 20 feet by 30 feet.
To find the area of first patio.
Area = length * breadth
= 20 * 30 = 600 square feet
To find the value of x
It is given that new area will be the double the area of first patio.
Here area = 2 * 600 = 1200 square feet
Here length = 30 + x
width = 20 + x
Area = (30 +x)(20 + x) = 1200
x² + 50x + 600 =1200
x² + 50x - 600 = 0
By solving this quadratic equation we get,
x = 10 and x = -60
take positive value x = 10
To find the dimensions of new patio
New length = 30 + x = 30 + 10 = 40 feet
width= 20 + x = 20 + 10 = 30 feet