Dwayne's garden is triangle-shaped with two equal sides and a third side that is 4 ft more than the length of an equal side. If the perimeter is 49 ft, how long is each side?

1 Answer
Apr 28, 2018

#15,15" and "19" feet"#

Explanation:

#"let the length of the equal sides be "x#

#"then the third side "=x+4larrcolor(blue)"4 feet more"#

#"perimeter "=x+x+x+4larrcolor(blue)"sum of sides"#

#color(white)("perimeter ")=3x+4#

#"we are given that perimeter "=49#

#rArr3x+4=49larrcolor(blue)"subtract 4 from each side"#

#rArr3x=45larrcolor(blue)"divide both sides by 3"#

#rArrx=15#

#"equal sides "=x=15" feet"#

#"third side "=x+4=15+4=19" feet"#