Question

98 POINTS AVAILABLE

Find the area of a triangle with side lengths 50 m, 45 m and 25 m. Round your answer to the nearest whole number.


Which of the following are true about approximating the area under a curve using trapezoids? Choose all that apply.

[mark all correct answers]

a. There is a limit to how many trapezoids can be used.

b. Increasing the number of trapezoids increases the accuracy of the area calculation.

c. The area of all the trapezoids can be added together to find the area under the curve.

Answer 1

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Explanation:

Answer 2

1st question:

The formula for area of a triangle given 3 side lengths is A = √(s(s-a)(s-b)(s-c))

where s = (a+b+c)/2

s = (50 + 45 + 25) /2 = 120/2 = 60

Area = √(60(60-50)(60-45)(60-25)

Area = √(60*10*15*35)

Area = √315000

Area = 561.25

Rounded to nearest whole number = 561 square meters.

2nd question:

b. Increasing the number of trapezoids increases the accuracy of the area calculation

c. The area of all the trapezoids can be added together to find the area under the curve.