Question

A triangle has a base length of 6ac2 and a height 3 centimeters more than the base length. Find the area of the triangle if a = 2 and c = 3.

Answer 1

(b) 5994 cm²

Explanation:

You want to know the area of a triangle with base 6ac² and height 3 cm more, given that a=2 and c=3.

Base

The base of the triangle is ...

base = 6ac² = 6(2)(3²) = 108 . . . . cm

Height

The height of the triangle is 3 cm more, so is ...

height = base + 3 = 108 cm +3 cm = 111 cm

Area

The area is half the product of base and height:

A = 1/2(base)(height)

A = 1/2(108 cm)(111 cm) = 5994 cm²

The area of the triangle is 5994 cm², matching choice B.

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