Find the area of the composite shape. Make sure to show your work.
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Answer:
The area of the rectangle <em>TOUR</em> is 80.00 unit².
Step-by-step explanation:
The area of a rectangle is computed using the formula:
Since the dimensions of the rectangle are not provided we can compute the dimensions using the distance formula for two points.
The distance formula using the two point is:
Considering the rectangle <em>TOUR</em> the area formula will be:
Area of Rectangle <em>TOUR</em> = <em>TO × OU</em>
The co-ordinates of the four vertices of a triangle are:
T = (-8, 0), O = (4, 4), U = (6, -2) and R = (-6, -6)
Compute the distance between the vertices <em>T</em> and <em>O</em> as:
Compute the distance between the vertices <em>O </em>and <em>U</em> as:
Compute the area of rectangle TOUR as follows:
Thus, the area of the rectangle <em>TOUR</em> is 80.00 unit².