A sand box has a perimeter of 31 1/2 feet. If the length is 8 1/4 feet, what is the area of the sandbox. Show your work and explain your thinking?

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Answer 1 · 2018-04-12T08:19:41

Length#color(blue)((l)=8 1/4 "feet"=33/4"feet"#

Breadth#color(blue)(=b#

Perimeter#color(blue)(=31 1/2 = 63/2 "feet"#

#=>2(l+b)=63/2#

#=>2(33/4+b)=63/2#

#=>33/4+b=63/2xx1/2#

#=>33/4+b=63/4#

#=>b=63/4-33/4#

#=>b=30/4#

#=>color(red)(b=15/2=7.5 "feet"#

Area#color(blue)(=lxxb#

#=>33/4xx15/2#

#color(magenta)(=>495/8"feet"^2#

~Hope this helps! :)