Answer:
w =4 ft and l =10 ft
Step-by-step explanation:
Let w = width
l = 2w+2
A = l*w
A = (2w+2)(w)
40 = (2w+2) w
Distribute
40 = 2w^2 +2w
Subtract 40
0 = 2w^2 +2w - 40
Dividing each side by 2
0 = w^2 +w -20
Factor
0 = (w+5) (w-4)
Using the zero product property
w+5 =0 w-4=0
w= -5 w=4
Since we cant have a negative length
w=4
l = 2w+2 = 2(4)+2 = 8+2 =10
<span>The ratio of sides is, 8:10 = 4:5
squaring it yields, 16:25
the ratio of the area is 16:25
</span>
Since it's a right triangle you can use the Pythagorean theorem or Trig (Soh Cah Toa).
I'll just use the Pythagorean theorem : a² + b² = c²
a = 9
b = x
c = 18
9² + x² = 18²
81 + x² = 324
x² = 324 - 81
x² = 243
x = √(243)
factor 243 to find a perfect square
x = √(3*81)
x = 9√(3)<u />
<span>0.827 = 0.827 / 1
Numerator = 0.827 × 10 × 10 × 10 = 827
Denominator = 1 × 10 × 10 × 10 = 1000
Numerator / Denominator = 827 / 1000
Simplifying our fraction
= 827/1000
= 827/1000</span>
Answer:
50 degrees.
Step-by-step explanation:
The angle where 2x + 50 is congruent to the 150 degree angle because they are vertical angles.
2x + 50 = 150
2x = 100
x = 50.
Hope this helps!
