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The coordinate plane shows rectangle PQRS . The length of side QR is 4 units. What is the area of PQRS?

The Coordinate Plane Shows Rectangle PQRS The Length Of Side QR Is 4 Units What Is The Area Of PQRS class=
The Coordinate Plane Shows Rectangle PQRS The Length Of Side QR Is 4 Units What Is The Area Of PQRS class=

Sagot :

QR = 4 unit

Let us find RS, which is the length of the rectangle . Therefore

[tex]\begin{gathered} RS=\sqrt[]{(1-5)^2+(-4-6)^2} \\ RS=\sqrt[]{16+100} \\ RS=\sqrt[]{116} \end{gathered}[/tex][tex]\begin{gathered} \text{area}=lw \\ \text{area}=\sqrt[]{116}\times4 \\ \text{area}=4\sqrt[]{116\text{ }}unit^2 \end{gathered}[/tex]