Question

A regular plot of land is 70 meters wide by 79 meters long. Find the length of the diagonal and, if necessary, round to the nearest tenth meter

Answer 1

Given :

The length is given l=79 m and width is given w=70m.

Explanation :

Let the length of diagonal be x.

To find the length of diagonal , use the Pythagoras theorem.

`x^2=l^2+w^2`

Substitute the values in the formula,

`\begin{gathered} x^2=79^2+70^2 \\ x^2=6241+4900 \\ x^2=11141 \\ x=\sqrt[]{11141} \\ x=105.55m \end{gathered}`

Answer :

The length of the diagonal is 105.6 m.

The correct option is D.