Respuesta :

devishri1977

Answer:

Step-by-step explanation:

Area of parallelogram = base * height

                                    = 12 * 8

                                    = 96 cm²

Area of parallelogram = 96

base * height = 96

          base = 96/height

          base = 96/16

         base = 6 cm

Question:

  • Find the area of a parallelogram whose base is 12cm and altitude is 8cm. Also find the other base of its corresponding altitude is 16cm.

Solution:

As we know that;

[tex]\star \: {\green{\boxed{ \rm{Area \: of \: parallelogram = base \times height}}}}[/tex]

Substituting the values,

[tex]\dashrightarrow\sf{12 \times 8} \\ \\ \dashrightarrow\sf{96} \: \bigstar[/tex]

Now,

[tex]\star \: {\orange{\boxed{ \rm{Area \: of \: parallelogram = base \times height}}}}[/tex]

Placing values,

[tex]\dashrightarrow\sf{base \times height = 96} \\ \\ \dashrightarrow\sf{base = \frac{96}{height} } \\ \\ \dashrightarrow\sf{base = \frac{\cancel{96}}{\cancel{16}}} \\ \\\dashrightarrow\sf{base = 6} \: \bigstar[/tex]

Therefore;

  • The area of the parallelogram is 96cm² and the the base is 6cm.

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