79,730 views
33 votes
33 votes
A school playground in the shape of a triangle has sides of

150 yards, 125 yards, and 191 yards. What is the distance around
the playground?

User Fionnuala
by
2.7k points

1 Answer

17 votes
17 votes

 In the given problem, apply your knowledge in algebra and basic mathematics specially in solving length of a rectangle and diagonal of rectangle.

Given

125 yards long and the length of one diagonal of the field is 150 yards

Solution

The formula for finding the lenght of the diagonal is similar on the formula of pythagorean theorem.

c² = a² + b², or d² = w² + l²

l = 125 yards

d = 150 yards

d² = w² + l²

150² = w² + 125²

22 500 = w² + 15 625

w² = 22 500 - 15 625

w² = 6 875

w = √6875

w = 25√11 yards

Answer

25√11 yards or 82.92 yards

Learn more about diagonal of triangle here at

Step-by-step explanation:

User Ftiaronsem
by
3.0k points