Question

The length and breadth of a rectangular field are 80 m and 39 m respectively. What is the length of the diagonal of the field, by using the long division method? * step by step explained​

Answer 1

Answer: $\sqrt{3121 m^{2} }$

Step-by-step explanation:

NOTE: I did it in the standard way and I don't really know how the long division method can be used here, if it can. I would love to discuss it with you in private messages.

Length = 80m

Breadth = 39m

Diagonal =?

If we split up the rectangle into 2 equal right-angled triangles with the hypotenuse along the diagonal, we can use the Pythogoras theorem to obtaint he hypotenuse of the triangle, or the diagonal of the rectangle.

Triangle Side A = 80m

Triangle Side B = 39m

Hypotenuse = $\sqrt{{(80m)^{2} + (39m)^{2}}$

Diagonal of Rectangle = $\sqrt{{(80m)^{2} + (39m)^{2}}$

$\sqrt{{(80m)^{2} + (39m)^{2}}$

$\sqrt{1600m^{2} + (39m)^{2}}$

$\sqrt{1600m^{2} + 1521m^{2} }$

$\sqrt{3121 m^{2} }$