Question

Para hacer un polideportivo se ha comprado una parcela triangular cuyos lados miden 300m , 375m y 362m .

Si el precio de un metro cuadrado es 66,11 euros , ¿cual ha sido el precio de la parcela?

Answer 1

3334650.54 euros

Explanation:

We can calculate the area of the triangle knowing its sides by means of Heron's formula:

A =
`√(p(p-a)(p-b)(p-c))`

Where p is the semi-perimeter is equal to:

`p = (a+b+c)/(2)`

now, we replace:

`p = (300+375+362)/(2)`

p = 518.5

now, we replace this value and we are left with:

A =
`√(518.5(518.5-300)(518.5-375)(518.5-362))`

A = 50440.94 m^2

Now to know the price, we multiply by the price of the square meter:

50440.94 * 66.11 = 3334 650.54

In other words, the value of the parcel is 3334 650.54 euros