Answer:
1 x=4
y=-1
2 has no solution
3 x=5y -/8 + 27/4
y= 54-8x/5
4x=y=0
5 x=2 y=1
Step-by-step explanation:
The perimeter of a rectangle = 2(l + w)
l = length
w = width
In this problem,
w = x
l = x + 30
the perimeter = 148
Let's plug our values into the perimeter formula above.
148ft = 2(x + x + 30ft)
Combine like terms.
148ft = 2(2x + 30ft)
Distribute the 2
148ft = 4x + 60
Subtract 60 from both sides
88ft = 4x
Divide both sides by 4
22ft = x
The width = x = 22ft
The length = x + 30 = 22 + 30 = 52ft
Rewrite it in the form a^2 - b^2, where a = 5x and b = 8
(5x)^2 - 8^2
Use the Difference of Squares; a^2 - b^2 = (a + b)(a - b)
<u>= C. (5x - 8)(5x + 8)</u>
