The length of a rectangle is 3 cm less than twice it’s width the perimeter of the rectangle is 48 cm what is the dimensions of the rectangle ?

1 Answer
Jim G.
Apr 30, 2018

#"length "=15" cm and width "=9" cm"#

Explanation:

#"the perimeter (P) of a rectangle is calculated as"#

#•color(white)(x)P=2l+2w#

#"where "l" is the length and "w" the width"#

#"let the width "=w#

#"then length "=2w-3larrcolor(blue)"3 less than twice width"#

#rArrP=2w+2(2w-3)#

#color(white)(rArrP)=2w+4w-6=6w-6#

#"we are given that "P=48#

#rArr6w-6=48#

#"add 6 to both sides and divide by 6"#

#6w=54rArrw=9#

#"length "=2w-3=(2xx9)-3=18-3=15#

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