Use the image to answer the question.
A grid 16 columns by 8 rows shows a trapezoid on it. The top left vertex is at the start of 2nd row and end of 3rd column. The top right vertex is at the start of 2nd row and end of 13th column. The bottom left vertex is at the end of 7th row and end of 1st column. The bottom right vertex is at the end of 7th row and end of 15th column.
A designer wants to estimate the area of a trapezoid-shaped stage. Each square represents one square foot. The designer decides to find the area by composing a rectangle. What is the length of the base of the rectangle in feet?
(1 point)
feet
The length of the base of the rectangle is 12 feet.
correct
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To find the length of the base of the rectangle in feet, we need to determine the horizontal distance between the two bottom vertices of the trapezoid.
Looking at the given information, we can see that the bottom left vertex is at the end of the 7th row and the end of the 1st column. The bottom right vertex is at the end of the 7th row and the end of the 15th column.
Since each square on the grid represents one square foot, we can calculate the length of the base of the rectangle by subtracting the column of the bottom left vertex from the column of the bottom right vertex and adding 1 to account for the square where the bottom vertices intersect.
Column of bottom right vertex (end of 15th column) - Column of bottom left vertex (end of 1st column) + 1 = length of base of the rectangle in feet
15 - 1 + 1 = 15 feet
Therefore, the length of the base of the rectangle is 15 feet.