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. what is a polynomial expression in terms of l for the area of the pen?

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.

this linear equation would have just one solution.

step-by-step explanation:

the reason why this would have one solution is that it is an expression with just one variable. since that variable is not raised to a power, it will always have just one solution.

answer:

total cost for tiles and paints is $924.  

step-by-step explanation:

we have been given that a community hall is in the shape of a cuboid. the hall is 40m long 15m high and 3m wide.

the paint will be required for 4 walls and ceiling.

let us find area of walls and ceiling.

therefore, the area of walls and ceiling is 1410 square meters.

given: cost for 10 litre of paint is $10 and 10 litre paint covers 25 square meter. therefore,

therefore, the total painting cost is $564.

tiles will be required for floor. let us find the area of floor.

given: 1m squared floor tiles costs $3. so,

therefore, the total tiles cost is $360.

now let us find combined total cost of tiles and paint.

therefore, the combined total cost of tiles and paint is $924.