Question

What is the area of polygon IJKL?

A.
120 square units
B.
125 square units
C.
130 square units
D.
140 square units
E.
150 square units

Answer 1

The correct answer option is E. 150 square units.

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

The correct answer is E

EXPLANATION

Polygon IJKL is a rectangle.

The area is given by;

`Area=l* 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* 15`

`Area=150` square units

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