You are asked to design a rectangular playground that is 19 feet longer than it is wide and should have total area of 58 square yards (1 yd=3 ft). Will 100 feet of fencing (including the gate) fully enclose the playground? 1) Label the perimeter of the playground. 2) Find an equation to represent the area of the playground. 3) What are the solutions to the equation? Do these solutions make sense? 4) What are the dimensions of the playground? 5) Show and explain if 100 feet of fencing will fully enclose the playground. Consider how rounding may have impacted your answer.
You are asked to design a rectangular playground that is 19 feet longer than it is wide and should have total area of 58 square yards (1 yd=3 ft). Will 100 feet of fencing (including the gate) fully enclose the playground? 1) Label the perimeter of the playground. 2) Find an equation to represent the area of the playground. 3) What are the solutions to the equation? Do these solutions make sense? 4) What are the dimensions of the playground? 5) Show and explain if 100 feet of fencing will fully enclose the playground. Consider how rounding may have impacted your answer.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 67E
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You are asked to design a rectangular playground that is 19 feet longer than it is wide and should have
total area of 58 square yards (1 yd=3 ft). Will 100 feet of fencing (including the gate) fully enclose the
playground?
1) Label the perimeter of the playground.
2) Find an equation to represent the area of the playground.
3) What are the solutions to the equation? Do these solutions make sense?
4) What are the dimensions of the playground?
5) Show and explain if 100 feet of fencing will fully enclose the playground. Consider how rounding
may have impacted your answer.
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