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Take a Test - Antrell Bender - Mozilla Firefox https://w bing https://www.mathxl.com/Student/PlayerTest.aspx?testid=122972106&centerwin;=yes Antrell Bender 2/22/16 2:05 PM xYAHOO! Chegg e Test:Week 12: Test 6 Time Limit: 02:30:00 Submit Test This Question: 1 pt 1 of 25 This Test: 25 pts possible Post A security fence encloses a rectangular area on one side of a park in a city. Three sides of fencing are used, since the fourth side of the area is formed by a building The enclosed area measures 450 square feet. Exactly 60 feet of fencing is used to fence in three sides of this rectangle. What are the possible dimensions that could have been used to construct this area? HO The shorter r dimension of the fenced area is feet The longer dimension of the fenced area is 11 feet Enter your answer in each of the answer boxes. 2 Save for Later Next Question subscription peri 2:06 PM 2/22/2016 Search the web and Windows

Solution

solution:

suppose the two sides of the park be a and b

as three sides of the park are covered with fencing

hence peremeter of 3 sides= 2a+b

length of fencing = 60 feet

hence 2a+b=60 i)

now

area of park=450

hence a*b=450 ii)

putting the value of b from i) into ii)

we get

a(60-2a)=450

or

a²-30a+225=0

hence a=15

putting this in ii)

b=30

hence shorter side =15 feet

longer side=30 feet