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Answer:
Width = 12in, Length = 17in
Step-by-step explanation:
We can create two expressions from the given statements:
1) L (length) = 5 + W (width)
and
2) 58 = 2L + 2W (the equation for rectangular perimeter)
Substituting L from the first equation into the second equation yields:
58 = 2(5+W) + 2W
Distributing the 2 and solving for W yields:
12in = W
Plug this back into the first expression,
L = 5 + 12
L = 17in
Answer:
width = 12 in
length = 17 in
Step-by-step explanation:
Let width of rectangle = x
⇒ length of rectangle = x + 5
Given:
Perimeter = 2 × width + 2 × length
⇒ 58 = 2x + 2(x + 5)
⇒ 58 = 2x + 2x + 10
⇒ 58 = 4x + 10
⇒ 48 = 4x
⇒ x = 12
Therefore,
width = x = 12 in
length = x + 5 = 12 + 5 = 17 in