Answer:
The area of the rectangle is;
[tex]91\text{ square units}[/tex]
Explanation:
Given the rectangle LKMN with the coordinates;
[tex]L(1,1),K(8,1),M(8,14)\text{ and N(1,14)}[/tex]
Recall that the area of a rectangle is the product of length and width;
[tex]A=l\times w[/tex]
From the given coordinates, the length and width of the rectangle are;
[tex]\begin{gathered} w=\sqrt[]{(8-1)^2+(1-1)^2} \\ w=7 \\ l=\sqrt[]{(8-8)^2+(14-1)^2} \\ l=13 \end{gathered}[/tex]
Substituting the values of the length and width, we have;
[tex]\begin{gathered} A=13\times7 \\ A=91\text{ square units} \end{gathered}[/tex]
Therefore, the area of the rectangle is;
[tex]91\text{ square units}[/tex]
