Question

Plot and connect the points A(4,1), B(1,1), C(1,-6), D(4,-6), and find the area of figure ABCD. A. 21 square units B. 27 square units C. 12 square units D. 18 square units

Answer 1

A. 21 square units

Step-by-step explanation:

Step 1. Make a diagram of the points.

The points are:

`A\mleft(4,1\mright),B\mleft(1,1\mright),C\mleft(1,-6\mright),D\mleft(4,-6\mright)`

Remember that in a point (x, y) the x-value is the first number and the y-value is the second number.

The diagram looks as follows:

Step 2. Connect the points:

Figure ABCD is a rectangle.

Step 3. Find the base and height of the rectangle:

b is the base, and h is the height:

`\begin{gathered} b=3\text{ units} \\ h=7\text{ units} \end{gathered}`

Step 4. Find the area using the following formula:

`A=b* h`

Substituting the known values:

`A=3\text{ units }*7\text{ units}`

The result is:

`A=21\text{ square units}`

Answer:

A. 21 square units