Question

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Answer 1

5,994 cm²

Explanation:

Formula

• Area of the triangle = 1/2 x base length x height

Given

• Base length = 6ac² cm
• Height = 6ac² + 3 cm
• a = 2
• c = 3

Solving

• Area = 1/2 x 6ac² x (6ac² + 3)
• Area = 1/2 x 36a²c⁴ + 18ac²
• Area = 9ac² (2ac² + 1)
• Substitute the values of a and c
• ⇒ Area = 9 x 2 x 3² (2 x 2 x 3² + 1)
• ⇒ Area = 162 (36 + 1)
• ⇒ Area = 162 x 37
• ⇒ Area = 5,994 cm²

Answer 2

option c

Explanation:

Area of triangle:

a = 2 and c = 3

base = 6ac²

= 6 *2 * 3 * 3

= 108 cm

height = base + 3

= 108 + 3

= 111 cm

`\boxed{\text{Area of a triangle = $ (1)/(2)*base*height$}}`

`=(1)/(2)*108*111\\\\\\= 54*111\\\\=5994 \ cm^(2)`