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
- the length BN
- the area of ABCD
- the area of ABNC
Answers:
a) BN=6cm
b) Area ABCD=78cm2
c) Area of ABNC = 60cm2
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
- the area of parallelogram PQRS
- the length of SX
- the area of PQXS
Answers:
a) 114cm2
b) 6cm
c) 150cm2
Example 3
In the given figure, a circle is enclosed by a regular trapezium. Taking π to be \(\frac{22}{7}\), find
- the circumference of the circle
- the area of the shaded region in \(\)cm^2\(\)
Answers:
a) 66mm
b) 1.155cm2
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 \(\frac{22}{7}\).
Answers:
Area Of Shaded Region = 112cm2
Step By Step Full Solution
Stuck on the questions above? The video below walks you through each solution step by step, breaking down every detail clearly. Perfect for students who need extra guidance or want to see exactly how to tackle each problem with confidence.
