What is the area of this polygon? Enter your answer in the box. units²
2 answers:
The given polygon can be divided in two parts 1) Triangle PES 2) Rectangle GPST
The sum of the areas of the triangle and the rectangle will give the area of the polygon.
1) Area of any triangle can be found by the formula A=
b denotes the base of the triangle and h is the height of the triangle.
In the given triangle base PS =7 units and h= 2 units .
Substituting these values we have
A=
A= 7 square units.
2) Area of rectangle can be found by the formula A= length x width.
For rectangle GPST length = 5 units ,width = 7 units
Area of rectangle =5x7=35 square units
Area of polygon = 7+35=42 square units.
Area = 72
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Answer:
A'(-2, 1), B'(1, 0), C'(-1, 0)
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, dilation and translation.
If a point X(x, y) is translated a units right and b units down, the new location is X'(x + a, y + b) whereas if a point X(x, y) is translated a units left and b units up, the new location is X'(x - a, y - b).
If a point X(x, y) is rotated 90° clockwise about the origin, the new location is X'(y, -x)
From the image attached, ∆ABC is at A(0, 0), B(1,3) C(1, 1)
If ∆ABC is translated 2 units down and 1 unit to the left (x - 1, y - 2), the vertices would be A*(-1, -2), B*(0, 1), C*(0, -1)
If it is then rotated 90° clockwise about the origin, the new location is A'(-2, 1), B'(1, 0), C'(-1, 0)
