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Answer :
Lets denote our variables as:
- x the width of the rectangle
- 5x the length of the rectangle
The formula for the perimeter of a rectangle is P = 2L + 2W, where L is the length of the rectangle and W is the width of the rectangle. We know that the perimeter of the rectangle is 120m, so we can write:
2(x) + 2(5x) = 120
2x + 10x = 120
12x = 120
x = 120/12
x = 10 m → Width of the rectangle
Substituting in the length:
5x = 5(10) = 50 m → Length of the rectangle
The length of the rectangle is 50 m and its width is 10 m.
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Rewritten by : Barada
Answer:
w = 10
l = 50
Step-by-step explanation:
Formula of Perimeter: w + w + l + l or 2w + 2l
l = 5w
2l + 2w = 120
2(5w) + 2w = 120
10w + 2w = 120
12w = 120
w = 10
l = 5(10)
l = 50
Check:
2l + 2w = 120
2(50) + 2(10) = 120
100 + 20 = 120
120 = 120
Hope This Helps!
