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

Answer:

$X=26$

Step-by-step 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

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

$X=26$