An archaeologist has set up a dig at a newly discovered site. She and her team start excavating an area that is 36 feet by 24 feet. Because the scientists find many artifacts near the edges of this area, they decide to expand the dig. They add nine feet in all directions to the area they have already excavated. What is the area of the space that has been added to the excavation site?

1080ft sq, 1242ft sq or 1404ft sq.
I was incorrect with 2268ft sq

36 * 24 = 864

54 * 42 = 2268

2268 - 864 = 1404

whats the answer?!

To find the area of the space that has been added to the excavation site, we first need to calculate the area of the original excavation site and the area of the expanded site. Then, we can subtract the original area from the expanded area to find the area that has been added.

The original excavation site measures 36 feet by 24 feet, so its area is calculated by multiplying the length and width:

Area of original excavation site = 36 ft * 24 ft = 864 sq ft.

Next, the archaeologists added nine feet to each side of the original site. This means the length and width of the expanded site are:

Expanded length = 36 ft + 9 ft = 45 ft
Expanded width = 24 ft + 9 ft = 33 ft

To find the area of the expanded site, we multiply the expanded length by the expanded width:

Area of expanded site = 45 ft * 33 ft = 1485 sq ft.

Finally, to calculate the area of the space that has been added to the excavation site, we subtract the original area from the expanded area:

Area of added space = Area of expanded site - Area of original excavation site
= 1485 sq ft - 864 sq ft
= 621 sq ft.

Therefore, the area of the space that has been added to the excavation site is 621 sq ft.

None of the given options (1080 sq ft, 1242 sq ft, or 1404 sq ft) match the correct answer of 621 sq ft.