Figure ABC is to be translated to Figure A'B'C' using the rule (x, y) → (x−3, y+4). Triangle ABC on the coordinate plane with th
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Answer:
The area of the irregular figure is 366 cm sq.
Step-by-step explanation:
This irregular figure is made of 1 Rectangle + 1 right Triangle
<u>Area of the Rectangle:</u>
Length of the rectangle = 21 cm,
Width of the rectangle = 14 cm
AREA of Rectangle = LENGTH x WIDTH
= 21 cm x 14 cm = 294 sq cm
⇒Area of the Rectangle = 294 sq cm ..... (1)
<u>Area of the Right Triangle:</u>
Base of the rectangle = 16 cm,
Height of the rectangle = 21 cm - 12 cm = 9 cm
AREA of Right Triangle =
⇒Area of the Right Triangle = 72 sq cm ..... (2)
Now, area of the irregular figure = Area of the( Rectangle +Right Triangle)
= 294 sq cm + 72 sq cm = 366 cm sq
Hence, the area of the irregular figure is 366 cm sq.