Answer:
about 60.1 cm
Explanation:
The perimeter is the sum of the side lengths. The only side length not given is that of the slanted side. It can be considered to be the hypotenuse of a right triangle with legs (15 -10) = 5 cm and (17 -6) = 11 cm. The Pythagorean theorem tells us that hypotenuse has a length of ...
c² = a² +b²
c = √(a² +b²) = √((5 cm)² +(11 cm)²) = √146 cm ≈ 12.083 cm
Then the sum of side lengths (CW from bottom left) is ...
17 cm +10 cm +6 cm +12.1 cm +15 cm = 60.1 cm
The perimeter is about 60.1 cm.