Calculating Areas of Geometric Figures

This video tutorial explains how to calculate the area of an irregular rectilinear figure. It begins by introducing the concept and marking points on the baseline. Perpendiculars are drawn from these points, and the areas of resulting triangles and trapezia are calculated. Finally, these areas are summed to find the total area of the field.

What is the first step in calculating the area of an irregular rectilinear figure?

• Calculate the total area directly.

• Draw all the offsets.

• Join the two farthest corners.

• Mark the midpoint of the baseline.

What is the length of the line segment AD?

• 200 m

• 300 m

• 150 m

• 250 m

How is the distance PQ calculated?

• By subtracting 30 from 60

• By adding 30 and 60

• By multiplying 30 and 60

• By dividing 60 by 30

What is the purpose of drawing perpendiculars from the marked points?

• To measure the height of the figure

• To create a new baseline

• To form offsets for area calculation

• To divide the figure into equal parts

What is the area of triangle AQB?

• 600 square m

• 900 square m

• 1,200 square m

• 1,500 square m

How is the area of trapezium BQS C calculated?

• By subtracting the smaller base from the larger base

• By using the formula for the area of a trapezium

• By adding the lengths of all sides

• By multiplying the base and height

What is the area of the triangle ERD?

• 3,000 square m

• 5,000 square m

• 4,000 square m

• 4,500 square m

What is the total area of the field?

• 16,500 square m

• 17,000 square m

• 15,000 square m

• 18,000 square m

Which of the following is NOT a step in calculating the total area?

• Marking points on the baseline

• Summing up the areas of all shapes

• Drawing a new baseline

• Calculating the area of each shape

What is the area of the trapezium PRF?

• 3,000 square m

• 4,500 square m

• 3,500 square m

• 4,000 square m