Question

Please help me. Thanks! :)

Answer 1

Required Answer:-

• R (-1,5)
• S (-3,1)
• T (-7,3)
• V (-5,7)

`{:}\leadsto`
`\sf RS=\sqrt {(-3-1)^2+(1-5)^2}`

`{:}\leadsto`
`\sf \sqrt {(-4)^2+(-4)^2}`

`{:}\leadsto`
`\sf \sqrt {16+16}`

`{:}\leadsto`
`\sf \sqrt {32}`

`{:}\leadsto`
`\sf RS=√(32)`

____________________

`{:}\leadsto`
`\sf ST=\sqrt {(-7-3)^2+(3-1)^2}`

`{:}\leadsto`
`\sf \sqrt {(-10)^2+(2)^2}`

`{:}\leadsto`
`\sf \sqrt {100+4}`

`{:}\leadsto`
`\sf ST={√(104)}`

___________________

`{:}\leadsto`
`\sf TV=\sqrt {(-5-7)^2+(7-3)^2}`

`{:}\leadsto`
`\sf √((-12)^2+(4)^2)`

`{:}\leadsto`
`\sf \sqrt {144+16}`

`{:}\leadsto`
`\sf TV=\sqrt {150}`

____________________

`{:}\leadsto`
`\sf RV=\sqrt {(-5-1)^2+(7-5)^2}`

`{:}\leadsto`
`\sf √((-6)^2+(2)^2)`

`{:}\leadsto`
`\sf \sqrt {36+4}`

`{:}\leadsto`
`\sf RV=\sqrt {40}`

______________________

Perimeter =RS+ST+TV+RV

`{:}\leadsto`
`\sf √(32)+\sqrt {104}+\sqrt {150}+\sqrt {40}`

`{:}\leadsto`
`\sf Perimeter =4√(20)`