The Wong twins are building a wooden box. They have sketched out the rectangular bottom of the box on a coordinate grid, with each grid unit representing 1 inch of the box. The corners are at the coordinates (1,1)

, (1,14)
, (18,14)
, and (18,1)
. Calculate the area of the bottom of the box.(1 point)
Responses

30 in.2

1 answer

To calculate the area of the bottom of the box, we need to calculate the length and width of the rectangle formed by the corners provided.

The length of the rectangle can be calculated as the difference in x-coordinates of two adjacent corners:
Length = 18 - 1 = 17 inches

The width of the rectangle can be calculated as the difference in y-coordinates of two adjacent corners:
Width = 14 - 1 = 13 inches

Therefore, the area of the bottom of the box is:
Area = Length x Width
Area = 17 inches x 13 inches
Area = 221 square inches

Therefore, the area of the bottom of the box is 221 square inches.
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