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find the length of side $overline{ab}$ for the trapezoid shown.

Question

find the length of side $overline{ab}$ for the trapezoid shown.

Explanation:

Step1: Identify coordinates of A and B

A(-5, 5), B(2, 5)

Step2: Apply distance formula for horizontal line

Since y - coordinates are the same, distance $d=\vert x_2 - x_1\vert$. Here $x_1=-5$, $x_2 = 2$, so $d=\vert2-(-5)\vert$.

Step3: Calculate the distance

$d=\vert2 + 5\vert=7$

Answer:

7