Question

How long is the diagonal in meters? round to the nearest tenth.

Answer 1

SOLUTIONS

Let the diagonal = d

Let the length = l = d - 4

and the width = w = d - 6

Area of the rectangle = 84m²

`\begin{gathered} A=l* w=84 \\ (d-4)(d-6)=84 \\ d^2-6d-4d+24=84 \\ d^2-10d+24-84=0 \\ d^2-10d-60=0 \end{gathered}`

Therefore the correct value of the diagonal is

`\begin{gathered} d=14.219 \\ d\approx14.2m \end{gathered}`

Final AFinal nswer :

d ≅ 14.2m