Answer:
The area would be '15l - l²
Step-by-step explanation:
Given,
By 30 feet of wire fencing we need to make a rectangular shape,
Thus, perimeter of such rectangle = 30 feet,
We know that,
Perimeter of a rectangle = 2( length + width)
if length = l feet,
⇒ 2(l + width) = 30
⇒ 2l + 2 × width = 30
⇒ 2 × width = 30 - 2l
⇒ width = = (15-l) feet,
Now, area of the rectangle,
A = length × width
= l × (15-l)
= 15l - l²
Which is the required polynomial expression.
Note :
Polynomial expression : an expression having terms consisting coefficients and variables separated by addition, subtraction and multiplication.