Question

What is the perimeter of a rectangle that has a width of 2×√75 + 4×√48 and a length of 1/2×√100

Answer 1

10 + 52
`√(3)`

Explanation:

Perimeter = 2l + 2w ( l is length and w is width )

l =
`(1)/(2)` ×
`√(100)` =
`(1)/(2)` × 10 = 5

b = 2
`√(75)` + 4
`√(48)`

= 2
`√(25(3))` + 4
`√(16(3))`

= 2 × 5
`√(3)` + 4 × 4
`√(3)`

= 10
`√(3)` + 16
`√(3)` = 26
`√(3)`

--------------------------------------------------------------------------

Perimeter = (2 × 5) + (2 × 26
`√(3)`) = 10 + 52
`√(3)`