Question

Find the perimeter & area of the rectangle

Answer 1

Perimeter =
`34√(2)` feet

Area = 60 feet²

Explanation:

Let us revise the rules of perimeter and area of a rectangle

• Perimeter = 2(Length + width)

• Area = Length × Width

→ From the given figure

∵ The length =
`√(8)` feet

∵ The width = 5
`√(18)` feet

→ Simplify the roots

∵
`√(8)=√((2)(2)(2))`

∴
`√(8)=2√(2)`

∴ The length =
`2√(2)` feet

∵
`5√(18)=5√((3)(3)(2))`

∴
`5√(18)=5(3)√(2)=15√(2)`

∴ The width =
`15√(2)` feet

→ Perimeter = 2(Length + width)

∵ Perimeter =
`2[2√(2)+15√(2)]`

∴ Perimeter =
`2[17√(2)]`

∴ Perimeter =
`34√(2)` feet

→ Area = Length × Width

∵ Area =
`2√(2)` ×
`15√(2)`

∴ Area =
`(2)(15)(√(2))(√(2))=(30)(2)=60`

∴ Area = 60 feet²