Question

Si él área de un terreno como en la figura mide 207 metros cuadrados cuáles son sus dimensiones

Answer 1

The dimensions are 9 meters by 23 meters.

How to find the dimensions?

Using the given diagram, we can write the equation:

3x² + 8x + 4 = 207

So we must solve a quadratic equation, we can simplify this as:

3x² + 8x + 4 - 207 = 0

3x² + 8x - 203 = 0

The solutions are given by:

`x = (-8 \pm √(8^2 - 4*3*(-203)) )/(2*3) \\\\x = (-8 \pm 50 )/(6)`

We only care for the positive solution, which is:

x = (-8 + 50)/6

x = 7

Then the width is:

W = x + 2 = 7 + 2 =9

The length is:

L = 2+ 3x = 2 + 3*7 = 23