Mr. janas is building a pool in his backyard. he sketches the rectangular pool on a coordinate plane. the vertices of the pool are a(-5,7),b( 1,7),c(1,-1),and d(-5,-1). if each unit represents 1 yard, how much area of the backyard is needed for the pool?

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.

The length AB is,

The breadth BC is,

The area of a rectangle is the product of length and breadth of the rectangle.

Since one unit represents one yard, therefore the area of the rectangular po is 48 yard square.