Answer:
52m
Step-by-step explanation:
Parallelograms have two pairs of equal sides. The length of stairs and the length of the right side of rooftop to ground is the same.
The problem has cut up a right-angle triangle for you. In the right-angle triangle, the hypotenuse is actually the same length as the stairs.
Use the pythagorean theorem: a² + b² = c²
"c" is the hypotenuse (the longest side)
"a" and "b" are the other two sides
Substitute a = 22 and b = 47. Isolate c.
a² + b² = c²
22² + 47² = c²
2693 = c² Square root both sides of the equation
c = 51.89..... Exact answer in decimals
c ≈ 52 Rounded to the nearest metre (whole number)
Therefore the stairs are 52 metres long.
