Question

What is the perimeter of the rectangle with the vertices shown below? A(4, 7), B(4, 15), C(9, 15), D(9,7)

Answer 1

`X=26`

Explanation:

From the question we are told that:

Co_ordinates of rectangle:

`A(4, 7),\\ B(4, 15),\\C(9, 15),\\D(9,7).`

Generally the equation for rectangular Perimeter X is is mathematically given by

`X=2(length+breath)\\X=2L+2B`

Generally the Length of the rectangle is mathematically given by

`L=(y\ axis\ co-ordinate\ of\ C)-(y\ axis\ co-ordinate\ of\ D)\\or\\L=(y\ axis\ co-ordinate\ of\ B)-(y\ axis\ co-ordinate\ of\ A)`

Therefore

`L=15-7\\L=8`

Generally the Breath of the rectangle is mathematically given by

`B=(x\ axis\ co-ordinate\ of\ D)-(x\ axis\ co-ordinate\ of\ A)\\or\\B=(y\ axis\ co-ordinate\ of\ C)-(y\ axis\ co-ordinate\ of\ B)`

Therefore

`B=9-4\\B=5`

Generally the rectangular Perimeter X is is mathematically given by

`X=2(8)+2(5`

`X=26`