Ireally need its my last question gwen pays the entry fee and buys 10 tickets. it costs her a total of $30. tristan pays the entry fee and buys 15 tickets. it costs him a total of $40. keith pays the entry fee and buys 10 tickets. it costs him a total of $30. in this task, let x represent the entry fee and y represent the cost of each ticket in dollars. how much gwen paid. y = 10x + 30 how much tristan paid. y = 15x + 40 how much keith paid. y = 10x + 30 which two equations could you use as a system to find the cost of the entry fee and the cost of each ticket? why? you could use gwen and keith’s equations because there the same equation. answer this: did you use elimination or substitution? what was the entry fee, and how much did each ticket cost? (you would use substitution)

The length of the track is approximately 51.7 ft

The track has three sides of the square and the distance round a half of a complete circle

Step-by-step explanation:

The given track shape and measurements are;

The shape on the left side of the track  = Square

The shape on the right side of the track  = Half circle

The area of the square on the the left side of the track  = 128 square feet

Therefore, from the area, A, of a square of side length, s, which is s × s, and letting the side length of the square = s, we have;

Area of the square portion of the track = s × s = s² = 128 ft²

Therefore, s = √(128 ft²) = 8·√(2) ft.

Whereby the side length of the square is bounded by the diameter of the half circle, we have;

Length of the diameter of the half circle = s = 8·√(2) ft.

The length of the perimeter of the half circle = π·D/2 = π × 8·√(2)/2 = π × 4·√(2) ≈ 17.77 ft.

The perimeter of the track, which is the length of the track is made up of the three sides of the square opposite to the half circle and the circumference of the half circle.

Therefore;

The length of the track = 3 × 8·√(2) ft + π × 4·√(2) ft. = 4·√2×(π+6) ≈ 51.7 ft

The length of the track ≈ 51.7 ft

Which gives;

The track has three sides of the square and the distance round a half of a complete circle.