Alex has 520 yards of fencing to enclose a rectangular area.

a retangle that maximises the enclosed area has a length of _ yards and a width of _ yards.

the maxium area is yards

The first thing we are going to do for this case is define variables.

We have then:

w: width

l: length

The perimeter is given by:

The area is given by:

The area as a function of a variable is:

Rewriting we have:

To obtain the maximum area, we derive:

We equal zero and clear the value of w:

Then, the length is given by:

Finally, the maximum area obtained is:

A retangle that maximizes the enclosed area has a length of 130 yards and a width of 130 yards.

The maxium area is 16900 square yards

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!

you answer is a

step-by-step explanation: