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

The correct answer is E

EXPLANATION

Polygon IJKL is a rectangle.

The area is given by;

The coordinates of I are and L.

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

The length is

units

The coordinates of K are and L.

The width is

units

Therefore

square units

The coordinates of K are and L.

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.