The formula for the perimeter is P = 2<em>w</em> + 2<em>l</em>, where <em>w</em> is the width and <em>l</em> is the length. It is given that the width = (x+2) and the length = (x+6). Therefore, we can make this equation:
P = 2<em>w</em> + 2<em>l</em>
64 = 2(x+2) + 2(x+6) ⇒ Distributive property
⇒ 64 = 2x + 4 + 2x + 12 ⇒ Combine like terms
⇒ 64 = 4x + 16 ⇒ Subtract 16 from both sides
⇒ 48 = 4x ⇒ Divide both sides by 4
⇒ x = 12
Then, we use x = 12 and substitute it in to find the length and width
<em>Width</em> = (x+2) = (12+2) = 14
<em>Length</em> = (x+6) = (12+6) = 18
The dimensions of the patio is <u>14 by 18</u>
2:3
?:36
36/3=13
2x13=26
26:36
26+3=29
29:36
subtract the 26 1/2 from 76 and then divide by 2
76-26 1/2 = 49 1/2 / 2 = 24 3/4
Answer:
Barbarian is the first.
Thatched is second.
Vassal is third.
Granary is fourth.
Step-by-step explanation:
First let’s try to cancel out the x
5x + -5x = 0
Add the y and the numbers together
-3y + -2y = -5y
26 + -16 = 10
-5y = 10
y = -2
Use y=-2 in one of the equations
-3(-2) + 5x = 26
6 + 5x = 26
5x = 20
X = 4
So
Y= -2
X= 4
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