Question

The perimeter of a rectangle is twice the sum of its length and its width. The perimeter is 22 meters and its length is 2 meters more than twice its length

Answer 1

Hello,
Let l represent length
w represent width
P represent perimeter

P=2(l+w)
22=2(l+w)
Divide 2 from both side
22/2=2(l+w)/2
11=l+w

l=2w+2
Apply this into the first equation
2w+2+w=11
3w+2=11
Subtract 2 from both side
3w+2-2=11-2
3w=9
Divided 3 from both side
3w/3=9/3
w=3 meters
l=2w+2
l=2(3)+2
l=8 meters
If you want to find the area
A=l×w
A=8×3
A=24 square meters. As a result, the length of this rectangle is 8 meters, width is 3 meters, and area is 24 square meters. Hope it help!

Answer 2

Perimeter=22cm
width=x
length=2x+2

2(3x+2)=22
6x+4=22
6x=18
x=3

width=3
length=8

area=3x8
=24m2