Question

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?

Answer 1

Answer: The area of the pool is 48 yard square.

Step-by-step 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.

`D=√((x_2-x_1)^2+(y_2-y_1)^2)`

The length AB is,

`AB=√((1+5)^2+(7-7)^2) =6`

The breadth BC is,

`BC=√((1-1)^2+(-1-7)^2) =8`

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

`A=l* b`

`A=6* 8=48`

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