Respuesta :

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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