Question

Two boys are running track. They decide to start in the northwest corner and go opposite directions around the rectangular track. If the width of the track is 150 yards and the diagonal is 240 yards, what is the length of the track?

Answer 1

= 187.3 yards

Step-by-step explanation:

The set-up will represent a triangle whereby the :

• Width = Height = 150 yards
• Diagonal = Hypotenuse = 240 yards
• Length = Base = ?

${a}^{2} = {c}^{2} - {b}^{2} \\ {a}^{2} = {240}^{2} - {150}^{2} \\ {a}^{2} = 57600 - 22500 \\ \sqrt{ {a}^{2} } = \sqrt{35100} \\ a = 187.3yards \: (rounded \: off \: to \: 1dp)$