Question #e7a8d

1 Answer
Jim G.
Jan 17, 2018

#"area "=72" square cm"#

Explanation:

#• " perimeter "=(2xx"length")+(2xx"width")#

#"let the width "=w#

#"then length "=2wlarrcolor(blue)"twice the width"#

#"now perimeter "=36" cm"#

#rArr(2xx2w)+2w=4w+2w=36#

#rArr6w=36#

#"divide both sides by 6"#

#(cancel(6) w)/cancel(6)=36/6#

#rArrw=6" cm"#

#rArrl=2w=(2xx6)=12" cm"#

#• " area of rectangle "="length "xx"width"#

#color(white)(xxxxxxxxxxxxxxx)=12xx6=72" square cm"#

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