A fence for a rectangular garden with one side against an existing wall is constructed by using 60 feet of fencing. What is the maximum area that can be enclosed

Step-by-step explanation:

A fence for a rectangular garden with one side against an existing wall is constructed by using 60 feet of fencing.

Perimeter of rectangle (3 sides)= 60 feet

Let 'x' be the width of the wall

Formula for the area of the rectangle is

Replace the length we got using perimeter

To find out the maximum are we take derivative

find out second derivative to check whether x=15 is maximum

second derivative is negative

So, Maximum area at x=15

To find maximum area we plug in 15 for x in A(x)

So, maximum area is 225 square feet

70

step-by-step explanation:

2*5=10

4*15=60

60+10=

70

126.66 m²

step-by-step explanation:

the pertinent area formula is a = πr², where r is the radius.

here, a = π(6.35 m)² = 40.32π, or approximately 126.66 m²