Practice Computation of areas - 1.16.7.a | 1. Contouring | Surveying and Geomatics
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Computation of areas

1.16.7.a - Computation of areas

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the Trapezoidal Rule used for?

💡 Hint: Think of dividing shapes into simpler parts.

Question 2 Easy

What is a planimeter?

💡 Hint: Consider a tool that 'walks' around a shape.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the Trapezoidal Rule approximate?

Area under a curve
Volume
Length

💡 Hint: Think about shapes that have parallel sides.

Question 2

Simpson's Rule uses what to estimate area?

Parabolic arcs
Straight lines

💡 Hint: Visualize how curves fit within lines.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A plot measures 12 meters on one side, 14 meters on another, and the remaining two sides create a trapezoidal section with heights of 5 meters each. Calculate the area using the trapezoidal rule.

💡 Hint: Remember to average the lengths of the bases.

Challenge 2 Hard

Using coordinates, calculate the area of a polygon with vertices at (2,3), (5,11), (12,8), and (10,5).

💡 Hint: Use the coordinate formula carefully.

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