A rancher wants to use a fence as an enclosure for a rectangular cattle pen with area 1024 square feet. (a) Suppose he decides to make one side of the pen 64 feet long. Draw a picture of the pen. 1. What would be the total amount of fence needed if the pen were a square? ft 2. Find a formula for a function F = F(L) that gives total amount of fence, in feet, required in terms of the length L, in feet, of one of its sides. (Hint: First draw a picture of the pen and label one side L. Next figure out the lengths of the other sides in terms of L.) F =
A rancher wants to use a fence as an enclosure for a rectangular cattle pen with area 1024 square feet. (a) Suppose he decides to make one side of the pen 64 feet long. Draw a picture of the pen. 1. What would be the total amount of fence needed if the pen were a square? ft 2. Find a formula for a function F = F(L) that gives total amount of fence, in feet, required in terms of the length L, in feet, of one of its sides. (Hint: First draw a picture of the pen and label one side L. Next figure out the lengths of the other sides in terms of L.) F =
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
Section4.3: Multiplying Monomials
Problem 43WE
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A rancher wants to use a fence as an enclosure for a rectangular cattle pen with area 1024 square feet.
(a) Suppose he decides to make one side of the pen 64 feet long. Draw a picture of the pen.
1. What would be the total amount of fence needed if the pen were a square? ft
2. Find a formula for a function F = F(L) that gives total amount of fence, in feet, required in terms of the length L, in feet, of one of its sides. (Hint: First draw a picture of the pen and label one side L. Next figure out the lengths of the other sides in terms of L.)
F =
1. What would be the total amount of fence needed if the pen were a square? ft
2. Find a formula for a function F = F(L) that gives total amount of fence, in feet, required in terms of the length L, in feet, of one of its sides. (Hint: First draw a picture of the pen and label one side L. Next figure out the lengths of the other sides in terms of L.)
F =
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Area= ( length ) * ( width )
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