Area & Perimeter Of Regular Figures Examples

In this section, we are going to run thru 4 examples on how to apply the formula for area & perimeter of regular figures effectively.

Example 1

ABCD is a parallelogram. The area of triangle ABC is 39\(cm^2\). AB=13cm and CN=7cm. Calculate
  1. the length BN
  2. the area of ABCD
  3. the area of ABNC

Example 2

PQRS is a parallelogram. SX is perpendicular to QX. PS=19cm, RX=12cm and the area of triangle PRS is 57\(\)cm^2\(\). Calculate
  1. the area of parallelogram PQRS
  2. the length of SX
  3. the area of PQXS

Example 3

In the given figure, a circle is enclosed by a regular trapezium. Taking π to be \(\frac{22}{7}\), find
  1. the circumference of the circle
  2. the area of the shaded region in \(\)cm^2\(\)

Example 4

The diagram shows a square of side 14cm and two quadrants which overlap each other inside the square. Find the area of the shaded region. Taking π to be \(\frac{22}{7}\)

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