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.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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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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