The length of a rectangle is 5 cm less than the width the perimeter is 22 cm find the length and the width

width is 8 cm

length is 3 cm

Step-by-step explanation:

Let w = width

l = w-5

The perimeter is

P =2 (w+l)

Substitute into the equation

P = 2 (w + w-5)

Combine like terms

P = 2 (2w-5)

Distribute

P = 4w-10

We know the perimeter is 22

22 = 4w-10

Add 10 to each side

22+10 = 4w-10+10

32 = 4w

Divide by 4

32/4 = 4w/4

8 = w

The width is 8

Now find the length

l = w-5

l = 8-5

l=3

8=width and 3=length

Step-by-step explanation:

we need to write an equation:

since the length is 5 cm less than the width

you would subtract 5 from the width to get the length

w-5=l

perimeter of a rectangle: 2l+2w=p

so substitute "w-5" for l in the formula

2*(w-5)+2w=22

distribute

2w-10+2w=22

combine like terms

2w+2w=4w

4w-10=22

add "10" to 22

4w=22+10

4w=32

divide 4 on both sides

4w/4=32/4

w=8

since length is 5 less than width the length is 3

8-5=3

check:

2l+2w=

2*8+2*3=22

so 8=width and 3=length

hope this helps!