Corral Dimensions and Equations

The video tutorial explains how to determine the dimensions of a horse corral enclosed on three sides next to a barn using 110 yards of fence, with a total perimeter of 164 yards. The problem is set up by recognizing the corral as a rectangle and formulating two equations based on the given information. The tutorial demonstrates solving the system of equations using the elimination method to find the values of x and y, representing the dimensions of the corral. The final solution reveals the corral's dimensions as 28 yards by 54 yards.

What is the total length of the fence used for the corral?

• 54 yards

• 28 yards

• 164 yards

• 110 yards

What shape is the corral described in the problem?

• Circle

• Triangle

• Rectangle

• Square

If the length of one side of the corral is X, what is the length of the opposite side?

• X

• 2X

• Y

• 110

Which equation represents the total length of the fence used?

• 2X + 2Y = 164

• 2X + Y = 110

• X + X + Y = 164

• X + Y = 110

What is the perimeter of the corral?

• 164 yards

• 28 yards

• 110 yards

• 54 yards

Which method is used to solve the system of equations?

• Trial and Error

• Elimination

• Substitution

• Graphing

What is the value of Y after solving the equations?

• 110

• 164

• 54

• 28

After finding Y, which equation is used to find X?

• 2X + Y = 110

• 2X + 2Y = 164

• X = 28

• X + Y = 54

What is the final value of X?

• 164

• 54

• 28

• 110

What are the final dimensions of the corral?

• 28 yards by 54 yards

• 54 yards by 28 yards

• 164 yards by 110 yards

• 110 yards by 164 yards