Find the Area. Please help! (Picture included)
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Area of the figure = 126 cm²
Solution:
The given figure is splitted into two shape.
One is rectangle and the other is triangle.
Length of the rectangle = 9 cm
Width of the rectangle = 12 cm
Area of the rectangle = length × width
= 9 × 12
Area of the rectangle = 108 cm²
Base of the triangle = 12 – 3 – 3 = 6 cm
Height of the triangle = 15 – 9 = 6 cm
Area of the triangle = [tex]\frac{1}{2}\times\text{base}\times\text{height}[/tex]
[tex]$=\frac{1}{2}\times6\times6[/tex]
Area of the triangle = 18 cm²
Area of the figure = Area of the rectangle + Area of the triangle
= 108 cm² + 18 cm²
= 126 cm²
Area of the figure = 126 cm²