Question

Please help and please don't answer just for the points I'll report you

Answer 1

Length of sandbox (3w + 1) = 9.1 m

Width of sandbox = 2.7 m

Explanation:

`w(3w + 1) = {5}^(2) \\ \\ 3 {w}^(2) + w = 25 \\ \\ 3 {w}^(2) + w - 25 = 0 \\ \\ equating \: it \: with \\ \\ a {x}^(2) + bx + c = 0 \\ \\ a = 3 \\ b = 1 \\ c = - 25 \\ \\ {b}^(2) - 4ac \\ = {1}^(2) - 4 * 3( - 25) \\ \\ = 1 + 300 \\ \\ = 301 \\ \\ w = ( - 1 \pm √(301) )/(2 * 3) \\ \\ w = ( - 1 \pm 17.3493516 )/(6) \\ \\ w = ( - 1 \pm 17.3493516 )/(6) \\ \\ considering \: only \: + ve \: sign \\ \\ w = ( - 1 + 17.3493516 )/(6) \\ \\ w = (16.3493516 )/(6) \\ \\ w = 2.72489193 \\ \\ w = 2.7 \: m`

3w + 1 = 3*2.7 + 1 = 8.1 + 1 = 9.1 m