Aschool wishes to form a rectangular playground using 160 meters of fencing. the playground borders the school building, so the fourth side does not need fencing. find a function that gives the area of the playground in terms of x

The area of a shape is the amount of space it occupies.

The function of area is:

The perimeter is given as:

Because one of the sides does not need fencing, the perimeter would be:

Make y the subject

Substitute 160 for P

The area of a rectangular fence is:

Substitute

Express as a function

Hence, the function of area is:

Read more about areas at:

link

Step-by-step explanation:

Let the length of the school be x meters (this is also the length of playground) and the width of playground be y meters.

A school wishes to form a rectangular playground using 160 meters of fencing (two widths and one length must be fenced). So,

A function that gives the area of the playground in terms of x is

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

i think the correct option is the second option.