ItsMEHh ItsMEHh
  • 13-04-2020
  • Mathematics
contestada

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

Respuesta :

opudodennis
opudodennis opudodennis
  • 20-04-2020

Answer:

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

Answer Link

Otras preguntas

What are the exact solutions of x2 - 3x - 5 = 0? x = the quantity of negative 3 plus or minus the square root of 29 all over 2 x = the quantity of 3 plus or min
The phrase "eight more than a number" can be written as which variable expression? A. 8x B. x-8 C. x+8 D. 8x-8
Simplify the expression [(12+4)x2+3]x5 a. 47 b. 400 c. 175 d. 300
what percent of 48.4 is 20.57?
Simplify the expression. 3 + 2 • 4 A. 9 B. 11 C. 20 D. 24
Solve for x. 4x + 6 = 38 A. 3.5 B. 8 C. 11 D. 128
Solve for x. 4x + 6 = 38 A. 3.5 B. 8 C. 11 D. 128
round 5.67 to the nearest tenth
Write x2 - 2x - 3 = 0 in the form (x - a)2 = b, where a and b are integers. (x - 4)2 = 3 (x - 3)2 = 2 (x - 2)2 = 1 (x - 1)2 = 4
HOW is anybody supposed to find the answer to this pre calc question???? Express the complex number in trigonometric form. -2 How am i supposed to do anything w