Let's make variables for two angles first. One angle will be x, and the other will be y.
Since they're supplementary, we know x + y = 180
We also know x = y - 32, since it's 32 degrees less than it's supplement.
Input the value of x into the first equation and...
y - 32 + y = 180
2y - 32 = 180
Add 32 to both sides:
2y = 212
Divide both sides by 2:
y = 106
We can solve for x in two ways.
One, we can subtract 32 from 106 since x is 32 degrees less.
Or, we could also just subtract 106 from 180 since we know the angles are supplementary.
x = 74
74 degrees and 106 degrees. The equation is y - 32 + y = 180, or x + y = 180
Using the formulas to find its length =
P= 2 ( l + w )
d= w² + l²
There are 2 solutions for,
l = P / 4 + 1 / 4 √8d² - p²
= 39.2 / 4 + 1 / 4 × √8 × 14² - 39²
= 11. 2 km answer.
Using the formula to find its width =
w = p / 2 - l
= 39.2 / 2 - 11.2
= 8.4 km answer.
≈ the length of a rectangle is 11.2 km and the width is 8.4 km
https://www.ck12.org/geometry/faces-edges-and-vertices-of-solids/lesson/Faces-Edges-and-Vertices-of-Solids-MSM7/
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