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You draw the rectangle with verticals at (-3.5, 3), (3.5, 3), and (-3.5, -3). What is the perimeter and area of the rectangle?

Sagot :

We want to know the perimeter and area of a rectangle given that we know where the vertices are.

We will get:

perimeter = 26

area = 42

While you wrote verticals, you wrote points, then I assume that it should say vertices.

The vertices of the rectangle are:

(-3.5, 3), (3.5, 3), (-3.5, -3), and one missing but that is the final one, (3.5, -3).

Note that we have two x-values and two y-values, we can define the length as the difference in the x-values and the width as the difference in the y-values, then we will get:

length = 3.5 - (-3.5) = 7

width = 3 - (-3)  = 6

Now we know the length and width of the rectangle, the perimeter is:

P = 2*(6 + 7) = 26

The area is:

A = 6*7 = 42

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