AnnalyV715867 AnnalyV715867
  • 03-11-2022
  • Mathematics
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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=

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MizukiV406141 MizukiV406141
  • 03-11-2022

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]

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