Question

What is the perimeter of rectangle EFGH?

Answer 1

I got P=17.09 appox.

Answer 2

The perimeter of the rectangle EFGH is 17.09

Explanation:

Firstly, we have to calculate the height and width of the rectangle EFGH.

For it, let determine the vectors corresponding to each dimension.

Let
`V_G_H` the width vector:

`V_G_H=(-3-2,4-2)=(-5,2)`

Let
`V_H_E` the height vector:

`V_H_E=(2-1,2-(-1))=(1,3)`

Then, let determine the modulus of each vector.

`|V_G_H|=√((-5)^2+2^2) =√(29)`

`|V_H_E|=√(1^2+3^2) =√(10)`

The modulus represents the length of each dimension.

Finally, the perimeter of a rectangle is:

`Perimeter EFGH=2*|V_G_H|+2*|V_H_E|=2*√(29) +2*√(10) \\Perimeter EFGH=17.09`