Answer:
The answer to your question is 164 meters
Step-by-step explanation:
Data
Width = 100 m
Length = 130 m
diagonal = ?
Process
1) To solve this problem, use the Pythagorean theorem
c² = a² + b²
where,
c = diagonal
a = length
b = width
2) Substitution
c² = (130)² + (100)²
3) Simplification
c² = 16900 + 10000
c² = 26900
4) Result
c = 164 m
Answer: The distance from one corner to the other corner is 164 meters.
Step-by-step explanation:
The diagonal of the rectangular field divides it into two equal right angle triangles. The diagonal represents the hypotenuse of each right angle triangle. The length and width of the rectangle represents the adjacent and opposite sides of the right angle triangle. To determine the length of the diagonal, d, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore
d² = 100² + 130²
d² = 10000 + 16900 = 26900
d = √26900
d = 164 meters
