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

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2

w'x is 0.

hope it