Question

What is the area of polygon IJKL?

Answer 1

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.

Answer 2

ANSWER

The correct answer is E

EXPLANATION

Polygon IJKL is a rectangle.

The area is given by;

$Area=l\times w$

The coordinates of I are $(5,8)$ and L$(-5,8)$.

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

The length is

$|IL|=|5--5|$

$|IL|=|5+5|$

$|IL|=|10|$

$|IL|=10$

units

The coordinates of K are $(-5,-7)$ and L$(-5,8)$.

The width is

$|LK|=|8--7|$

$|LK|=|8+7|$

$|LK|=|15|$

$|LK|=15$

units

Therefore

$Area=10\times 15$

$Area=150$ square units

The coordinates of K are $(-5,-7)$ and L$(-5,8)$.