Question

Find the area of a rectangle whose length is 150 m and the diagonal is 170 m.

Answer 1

Given; a rectangle whose length is 150 m and the diagonal is 170 m.

To Find; Perimeter of the rectangle

Solution; Length of rectangle =l

Breath of rectangle = b

Diagonal of rectangle = d

In rectangle length breath and diagonal form a triangle in which we can easily apply Pythagoras theorem

According to Pythagoras theorem

l² + b² = d²

22500+b² = 28900

b²=6400

b=80m

Hence, the formula for the area of the rectangle is,

`A=lb`

Therefore,

`A=150*80=12000m^2`

Hence, the answer is

`\begin{equation*} 12000m^2 \end{equation*}`