The area of the triangle is half the product of its base and its height. The area of the arrow will be 69.5 cm².
What is the area of a triangle?
The area of the triangle is half the product of its base and its height.
[tex]\rm \text{Area of triangle} = \dfrac{1}{2} \times base \times height[/tex]
The arrow can be divided into a triangle and a reactangle as shown below.
The triangle will have a base length of 9 cm while the height is 3 cm(11cm-8cm). Therefore, the area of the triangle can be written as,
[tex]\rm \text{Area of triangle} = \dfrac{1}{2} \times base \times height[/tex]
[tex]= \dfrac{1}{2} \times 9 \times 3\\\\= 13.5\rm\ cm^2[/tex]
The rectangle will have a length of 7 cm while the height of the rectangle will be 8 cm, therefore, the area of the rectangle will be,
[tex]\rm \text{Area of rectangle} = length \times height[/tex]
[tex]= 7\times 8\\\\= 56\rm\ cm^2[/tex]
The total area of the arrow is the sum of the area of the triangle and the area of the rectangle.
The area of the arrow = 56 + 13.5 = 69.5 cm²
Hence, the area of the arrow will be 69.5 cm².
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