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ratelena [41]
3 years ago
14

You have 30 feet of wire fencing that you want to use to make a rectangular pen for chickens. Let l be the length of the pen. wh

at is a polynomial expression in terms of l for the area of the pen?
Mathematics
1 answer:
Olin [163]3 years ago
4 0

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 = \frac{30-2l}{2} = (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.

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