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The perimeter of a rectangle is 42 cm. The length is 3 cm greater than the width. Find the width and length

User Zooba
by
5.3k points

2 Answers

0 votes

Answer:

Width=9 cm; Length= 12 cm

Explanation:

Perimeter=2 times (Length)+ 2 times (Width)

Then you would substitute the lengths in, which would get you,

42=2(L) + 2(W)

Since the length is greater than the width by 3, L=W+3

Substitute this in, then you get,

42=2(W+3)+ 2(W) Solve,

42=2W+6+2W

42=4W+6

36=4W

W=9 cm

L=W+3

L=9+3

L=12 cm

User Amergin
by
5.1k points
3 votes

Answer:

the width is 18

Explanation:

the perimeter formula is p=2l+2w

we can fill in what we know

42=2(3)+2w

and then complete the order of operations

42=6+2w

-6 -6

36=2w

2 2

18=w

User GavinCattell
by
5.4k points