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19 November, 15:39

Rectangle ABCD translates 4 units down and 2 units to the right to form rectangle A'B'C'D'. The vertices of rectangle ABCD are labeled in alphabetical order going clockwise around the figure. If AB = 3 units and AD = 5 units, what is the length of B'C'?

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  1. 19 November, 17:33
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    The length of B'C' in the rectangle A'B'C'D' = 9 units.

    Step-by-step explanation:

    step 1:

    Draw a rectangle with vertices ABCD in clockwise direction.

    where, AB and DC are width of the rectangle ABCD.

    AD and BC are length of the rectangle ABCD.

    step 2:

    Now,

    The length of the rectangle is AD = 5 units and

    The width of the rectangle is AB = 3 units.

    step 3:

    Draw another rectangle with vertices A'B'C'D' extended from vertices of the previous rectangle ABCD.

    step 3:

    The length of the new rectangle is A'D' which is 4 units down from AD.

    ∴ The length of A'D' = length of AD + 4 units = 5+4 = 9 units

    step 4:

    Since B'C' is also the length of the rectangle A'B'C'D', then the measure of B'C' is 9 units.
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