A rectangle's perimeter is equal to 27 plus its width. The length of the rectangle is four times its width. What is the
1 answer:
Answer:
P = 3
Step-by-step explanation:
L = 4*w
P = 27 + w
P = 2*L + 2*w = 27 + w
2L = 2*(4w) = 8w
Put that into the perimeter formula (the first one.)
P = 8w + 2w = 27 + w
10w = 27 + w Subtract w from both sides
9w = 27 Divide by 9
w = 27 / 9
w = 3
You should find the Length just so you can check it.
L = 4w
L = 4*3
L = 12
Check
P = 2L + 2w
P = 2*12 + 2*3 = 30
P = 27 + w
P = 27 + 3
P = 30 and everything checks.
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