Rectangle ABCD has vertices at A (-1, 1), B (2, 1), C (2, -5), and D (-1, -5). What is the perimeter of rectangle ABCD?

The perimeter of rectangle is 18 units

Solution:

The perimeter of rectangle is:

Perimeter = 2( length + width)

Rectangle ABCD has vertices at A (-1, 1), B (2, 1), C (2, -5), and D (-1, -5)

Let AB be the length

Let BC be the width

Find distance between A and B

The distance between two points is given as:

Therefore,

Thus, AB = length = 3 units

Find the distance between B and C

Therefore,

Thus width = 6 units

Therefore,

Perimeter = 2(3+6) = 2(9) = 18

Thus perimeter of rectangle is 18 units

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