Question

a rectangular beach resort is to fenced using 200 meters of fencing materials; no fence is required along the shoreline. Let x be the length of each side perpendicular to the shoreline, express the number of square meter in the area of the beach resort as a function of x.

Answer 1

Let

x--------> the length of each side perpendicular to the shoreline

y--------> the width of the rectangular beach resort

A-------> area of the rectangular beach resort

P------> fenced perimeter of the rectangular beach resort

we know that

A=x*y--------> equation 1

P=2x+y

P=200 m

2x+y=200-----> y=200-2x-----> equation 2

substitute equation 2 in equation 1

A=x*[200-2x]-------> A=200x-2x²

therefore

the answer is

A=-2x²+200x