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​

Answer 1

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;

`\star \: {\green{\boxed{ \rm{Area \: of \: parallelogram = base * height}}}}`

Substituting the values,

`\dashrightarrow\sf{12 * 8} \\ \\ \dashrightarrow\sf{96} \: \bigstar`

Now,

`\star \: {\orange{\boxed{ \rm{Area \: of \: parallelogram = base * height}}}}`

Placing values,

`\dashrightarrow\sf{base * height = 96} \\ \\ \dashrightarrow\sf{base = (96)/(height) } \\ \\ \dashrightarrow\sf{base = \frac{\cancel{96}}{\cancel{16}}} \\ \\\dashrightarrow\sf{base = 6} \: \bigstar`

Therefore;

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

Answer 2

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