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(8,-1), (8,2), (-5,2) (-5,-1) perimeter and area

User Steadyfish
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1 Answer

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The perimeter is 32 units, and the area is 39 square units.

How to calculate perimeter and area of a figure

Finding the perimeter and area of the quadrilateral defined by the points (8, -1), (8, 2), (-5, 2), and (-5, -1),

Let's label the points:

A (8, -1)

B (8, 2)

C (-5, 2)

D (-5, -1)

Let's calculate distances for each side using the distance formula

d = √((x₂ - x₁)² + (y₂ - y₁)²)

AB = √{(8 - 8)² + (2 - (-1))²

√(3²)

= 3

BC = √{(-5 - 8)² + (2 - 2)²}

=√{-13²}

= 13

CD = √{(-5 - (-5))² + ((-1) - 2)²}

=√{-3²}

= 3

DA = √{(8 - (-5))² + ((-1) - (-1))²}

=√(13²)

= 13

From the results, the quadrilateral is a rectangle

Calculate the perimeter by adding the side lengths:

Perimeter P= (AB + BC + CD + DA

= 3 + 13 + 3 + 13

= 32 units

Area = Lx W

= 13 x 3

= 39 unit²

So, the perimeter is 32 units, and the area is 39 square units.

User Paul Frank Allan
by
8.2k points

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