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On a coordinate plane, the vertices of a rectangle are (–1, 1), (3, 1), (–1, –4), and (3, –4). What is the perimeter of the rectangle?

User Rich Fox
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1 Answer

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Given that,

The vertices of a rectangle are (–1, 1), (3, 1), (–1, –4), and (3, –4).

To find,

The perimeter of the rectangle.

Solution,

Let the points are :

A(–1, 1), B(3, 1), C(3, –4) and D(–1, –4)

Let's find AB and BC using distance formula :


AB=√((3-(-1))^2+(1-1)^2) \\\\=4\ \text{units}


BC=√((3-3)^2+(-4-1)^2) \\\\=5\ \text{units}

The perimeter of a rectangle = 2(sum of two adjacent sides)

= 2(AB+BC)

= 2(4+5)

= 18 units

So, the perimeter of the rectangle is 18 units.

On a coordinate plane, the vertices of a rectangle are (–1, 1), (3, 1), (–1, –4), and-example-1
User Sndn
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