Question

a parallelogram has a base of 6 centimeters and a height of 10 centimeters. this parallelogram has the same area as a triangle with a height of 5 centimeters. what is the measure, in centi,of the base of the triangle?​

Answer 1

24cm

Explanation:

Answer 2

The area of the parallelogram can be found using the formula A = base × height:

A = 6 cm × 10 cm

A = 60 cm²

The area of a triangle is given by the formula A = 1/2 × base × height. We know the height is 5 cm and the area is also 60 cm² (since it is equal to the parallelogram). So, we can solve for the base:

60 cm² = 1/2 × base × 5 cm

Dividing both sides by 1/2 × 5 cm gives:

base = 24 cm

Therefore, the base of the triangle is 24 centimeters.