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kudzordzifrancis

ANSWER


The correct answer is E


EXPLANATION

Polygon IJKL is a rectangle.

The area is given by;

[tex]Area=l\times w[/tex]

The coordinates of I are [tex](5,8)[/tex] and L[tex](-5,8)[/tex].

This is a horizontal line so it will be faster using the absolute value method rather than the distance formula

The length is

[tex]|IL|=|5--5|[/tex]


[tex]|IL|=|5+5|[/tex]


[tex]|IL|=|10|[/tex]


[tex]|IL|=10[/tex]

units



The coordinates of K are [tex](-5,-7)[/tex] and L[tex](-5,8)[/tex].

The width is

[tex]|LK|=|8--7|[/tex]


[tex]|LK|=|8+7|[/tex]


[tex]|LK|=|15|[/tex]

[tex]|LK|=15[/tex]

units

Therefore

[tex]Area=10\times 15[/tex]


[tex]Area=150[/tex] square units



The coordinates of K are [tex](-5,-7)[/tex] and L[tex](-5,8)[/tex].

alinakincsem

Answer:

The correct answer option is E. 150 square units.

Step-by-step explanation:

A polygon is figure with at least 3 straight or definite sides or typically 5 or more straight sides.

Here the polygon we are given is a rectangle.

We know that,

Area of a rectangle = l x w

so we need to measure the length and width of the rectangle to find its area.

If we look closely, we can see the length of the rectangle above the x-axis is 8 units and the length below the x-axis 7 units which makes a total og 15 units.

While the width is 10 units (5 units on each side of the y-axis).

Area of the rectangle = 15 x 10 = 150 square units.

Therefore, the area of the polygon is 150 square units.

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