find a polynomial A(x) that represents the new area.
Tracie's garden is a square with sides of length x feet. Next spring she plans to make it rectangular by lengthening one side 3 feet and shortening the other side by 3 feet
The area of a rectangle= LengthxWidth
let x= the length of one side of the square garden
A(x)= (x+3)(x-3)
3time 100
To find the polynomial A(x) that represents the new area of Tracie's garden, we can start by determining the area of the original square garden.
In a square, all sides have equal length. Therefore, the original area of Tracie's garden can be expressed as A(x) = x * x = x^2.
Next, Tracie plans to make the garden rectangular by lengthening one side by 3 feet and shortening the other side by 3 feet. This means one side will become x + 3 feet, while the other side will become x - 3 feet.
To find the new area, we multiply the length of the longer side (x + 3) by the length of the shorter side (x - 3):
New area (A(x)) = (x + 3)(x - 3) = x^2 - 9.
Therefore, the polynomial A(x) that represents the new area of Tracie's garden is A(x) = x^2 - 9.