Please answer the question attached below.
1 answer:
Answer:
Please check the attached figure a for a complete visual.
Step-by-step explanation:
Considering the triangle ΔABC with vertices
- A(-2, 0)
- B(-2, 4)
- C(0, 0)
When a figure is multiplied by a scale factor greater than 1, the figure is enlarged.
As the center of enlargement is (4, 4).
So, Draw a straight line from vertex A to the point (4, 4). Count how many units it needed in two dimensions to reach the center of enlargement (4, 4).
In case of vertex A, it was 6 units right and 4 units up. So, multiply them with 1.5 and locate the resulting position as A' which is the image of A after the scale factor of 1.5 using the center of enlargement as (4, 4).
So, when we multiply '6 units right' with 1.5, it becomes 9 units. So, move 9 units right from the center of enlargement (4, 4).
Similarly, when we multiply '4 units up' with 1.5, it becomes 6 units. So, move 6 units up from the center of enlargement (4, 4).
So, new the position of A' is shown in figure a.
Similarly, the vertex B and C are enlarged and the positions of B' and C' are shown in figure a.
The complete enlargement of triangle ΔABC is done as ΔA'B'C'. Please check the attached figure a for a complete visual.
Keywords: enlargement, scale factor, transformation
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Answer:
The dimensions of the pool are:
Width: 8.944 feet
Length: 17.888 feet
Step-by-step explanation:
From Geometry, the area of a rectangle (), measured in square feet, is determined by the following equations:
(1)
Where:
- Width, measured in feet.
- Length, measured in feet.
If we know that ,
and
, then we get the following second order polynomial:
(1)
And we solve the expression for :
Then, the dimensions of the pool are, respectively:
and