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Answer:
Option C = 335.5 in²
Step-by-step explanation:
Area of triangle = (1/2)×b×h
= (1/2)×a×a
= (1/2)×11×11
=60.5 in²
Area of rectangle = l×b
= b×a
= 25×11
= 275 in²
Area of pencil = Area of triangle + Area of rectangle
=60.5 + 275
335.5 in²
Answer:
C) 335.5 in²
Step-by-step explanation:
Firstly,
We'll find out the area of rectangled portion of pencil.
So,
Area of rectangle = Length × Breadth
Area of rectangled portion,
= b × a
= 25 × 11
= 275 in²
Lastly,
We'll find out the area of triangled portion of pencil,
So,
Area of triangle =
[tex] = \frac{1}{2} \times base \times height[/tex]
[tex] = \frac{1}{2} \times a \times a \\ = \frac{1}{2} \times {a}^{2} \\ = \frac{ {a}^{2} }{2} \\ = \frac{121}{2} \\ = 60.5 \: {in}^{2} [/tex]
Total area of pencil = Area of rectangled portion + Area of triangled portion
= 275 in² + 60.5 in²
= 335.5 in²
Answer will be C.
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