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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?

User Deerchao
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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.

Mr. Janas is building a pool in his backyard. He sketches the rectangular pool on-example-1
User Vahid Taghizadeh
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