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"