Using the stadium map, find the shortest route between the Kroger and Ford ramps. Also, calculate the…

Question

Using the stadium map, find the shortest route between the Kroger and Ford ramps. Also, calculate the Grandstand Tier capacity if there are 40 shaded sections, each with 18 rows and 13 seats per row.

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2.2.2

Locate the ramps on the stadium map.
Based on the stadium map, the Kroger Ramp is located at the southwest corner of the stadium, and the Ford Ramp is located at the northeast corner.
Determine the shortest route along the outer perimeter using compass directions.
To move from the southwest corner (Kroger Ramp) to the northeast corner (Ford Ramp) along the outer perimeter, the shortest route involves traversing two sides of the stadium.

The spectator should:
- Walk North along the west side of the stadium.
- Then, turn East and walk along the north side of the stadium until reaching the Ford Ramp.
2.2.3
Calculate the number of seats in one section.
Given that each section has 18 rows and each row has 13 seats.
$\text{Seats per section} = \text{Number of rows} \times \text{Seats per row}$ $\text{Seats per section} = 18 \times 13$ $\text{Seats per section} = 234 \text{ seats}$
Calculate the total capacity of the Grandstand Tier.
Given there are 40 shaded sections in total.
$\text{Total capacity} = \text{Number of sections} \times \text{Seats per section}$ $\text{Total capacity} = 40 \times 234$ $\text{Total capacity} = 9360 \text{ spectators}$
Verify the Municipality's claim.
The Municipality claims the Grandstand Tier can accommodate more than 9 500 spectators. We compare our calculated total capacity to this claim.
$9360 > 9500$
This statement is false. 9360 is not greater than 9500.

Therefore, the claim is invalid. The Grandstand Tier can accommodate $\boxed{\text{9360 spectators}}$ , which is less than 9500.

Using the stadium map, find the shortest route between the Kroger and Ford ramps. Also, calculate the Grandstand Tier capacity if there are 40 shaded sections, each with 18 rows and 13 seats per row.

Step-by-step solution

2.2.2

Locate the ramps on the stadium map.

Determine the shortest route along the outer perimeter using compass directions.

2.2.3

Calculate the number of seats in one section.

Calculate the total capacity of the Grandstand Tier.

Verify the Municipality's claim.

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