Question

Hi! I need help with this question can you help me?

Answer 1

The area of the rectangle is;

`91\text{ square units}`

Step-by-step explanation:

Given the rectangle LKMN with the coordinates;

`L(1,1),K(8,1),M(8,14)\text{ and N(1,14)}`

Recall that the area of a rectangle is the product of length and width;

`A=l* w`

From the given coordinates, the length and width of the rectangle are;

`\begin{gathered} w=\sqrt[]{(8-1)^2+(1-1)^2} \\ w=7 \\ l=\sqrt[]{(8-8)^2+(14-1)^2} \\ l=13 \end{gathered}`

Substituting the values of the length and width, we have;

`\begin{gathered} A=13*7 \\ A=91\text{ square units} \end{gathered}`

Therefore, the area of the rectangle is;

`91\text{ square units}`