What is the dimension of the rectangle?
2 Answers
Length =
Width =
Explanation:
Let the width of the rectangle be
We know that, if we decrease the width by
That means,
So, the width is
Explanation:
#"let the width "=w#
#"then length "=w+4larrcolor(blue)"4 more than width"#
#"decrease length by 5 "tow+4-5tow-1#
#"decrease width by 2 "tow-2#
#• " perimeter "=(2xx"length")+(2xx"width")#
#color(white)(xxxxxxxxxx)=2(w-1)+2(w-2)#
#color(white)(xxxxxxxxxx)=2w-2+2w-4#
#color(white)(xxxxxxxxxx)=4w-6#
#"now perimeter "=18#
#rArr4w-6=18#
#"add 6 to both sides"#
#4wcancel(-6)cancel(+6)=18+6#
#rArr4w=24#
#"divide both sides by 4"#
#(cancel(4) w)/cancel(4)=24/4#
#rArrw=6#
#rArr"width "=6" cm "#
#rArr"length "=w+4=6+4=10" cm"#