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the perimeter of a rectangle is 42m. The length of a rectangle is 3m less than twice the width. Find the length and width of the rectangle

User Rtenha
by
8.0k points

2 Answers

1 vote
The formula for perimeter of a rectangle
2L + 2W = 42

As the question states, Length is 3 meters less than twice the width, so
L = 2W - 3
Substitute L in the perimeter formula
2(2W-3) + 2W = 42
Distribute
4W - 6 + 2W = 42
Simplify the rest
6W - 6 = 42
6W = 48
W=8
So the width is 8 meters. Now we can find the length with L = 2W - 3
Substitute W in
L = 2(8) - 3
L = 16 - 3
L = 13

So the width is 8 meters and the length is 13 meters. Hope this helps
User Christopher Oezbek
by
8.1k points
5 votes
The pm is 42m that’s that that
User Thiagowfx
by
8.7k points
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