Answer:
px-qx
Step-by-step explanation:
Width = x
length = x+10
Area of deck = 144 square feet
Area = length * width
144 = x(x+10)
Solving for x in a quadratic:
x²+10x = 144
x²+10x-144 = 0
Factor:
(x+18)(x-8) = 0
Solving for x:
x = 8, x = -18
Dimensions cannot be negative, therefore x = 8, only.
Length = x + 10
Length = 18
Width = 8
To get perimeter, you simply add all the side lengths. So we will ad 23.2 + 23.2 + 12 + 12 = 70.4
The perimeter is 70.4 m
256 are needed because 32x1=32 that means the ratio would be 32:256 because 8 x 32 = 256
The final ratio would stay the same as 1:8 though because it would be simplified.
Hope this helped.
Since the total circumference of the circle is 60 pi cm which passes around 360˚, the length of an arc of 140˚ will be equal to 140/360 = 7/18 times the total length:
l = (7/18) * 60 pi cm = 23.3 pi cm