If you have 50 feet of fence, what shape would yield the greatest area in yards?

Square

Step-by-step explanation:

Perimeter of a rectangle is

P=2(l+w)

Where l is length and w is width

Substituting 50 for P

50=2(l+w)

25=l+w

Making w the subject of formula then

w=25-l

Area is lw and substituting for w

A=l(25-l)=-l²+25l

A=-l²+25l

Getting firat derivative of A with respect to l

-2l+25=0

l=25/2=12.5 yards

Width will be 25-12.5=12.5 yards

The dimensions of length and width are same hence the shape is square

i will take them

step-by-step explanation:

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb