Answer: The area of the pool is 48 yard square.
Explanation:
It is given that the vertices of the pool are A(-5,7),B( 1,7),C(1,-1),and D(-5,-1).
Plot these points on a coordinate plane as shown below.
From the figure it is noticed that the length of the pool is AB, which is equal to 6 and the bright of the pool is BC, which is equal to 8.
It is also calculated by distance formula.
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The length AB is,
[tex]AB=\sqrt{(1+5)^2+(7-7)^2} =6[/tex]
The breadth BC is,
[tex]BC=\sqrt{(1-1)^2+(-1-7)^2} =8[/tex]
The area of a rectangle is the product of length and breadth of the rectangle.
[tex]A=l\times b[/tex]
[tex]A=6\times 8=48[/tex]
Since one unit represents one yard, therefore the area of the rectangular po is 48 yard square.
