Area of a Polygon

IMPORTANT

Area of a Polygon: Overview

This topic covers concepts, such as, Area of General Polygon, Triangulation of a Polygon, Area of Regular Polygons & Area of Regular Hexagon etc.

Important Questions on Area of a Polygon

EASY
IMPORTANT

Find the area of a haxagon whose side is 4 m.

MEDIUM
IMPORTANT

The area of a triangle is 57.24 square cm. If two sides are 8 cm and 19 cm respectively, then the third side will be

MEDIUM
IMPORTANT

If the perpendicular distance from the centre to the side of regular hexagon is 4 cm, the side length is 6 cm. The area of the regular hexagon is: (in cm2)

EASY
IMPORTANT

Find the area of a regular Hexagon which has a side of length 12 units?

MEDIUM
IMPORTANT

ABCDE is a regular pentagon. O is a point inside the pentagon such that AOB is an equilateral triangle. What is OEA?

Question Image 

EASY
IMPORTANT

In the given figure if the area of the blue shaded right angled triangle is 1cm2. Then find the area of the square ABCD.

Question Image

MEDIUM
IMPORTANT

Find the ratio of areas between Blue shaded portion and the red shaded portion, if the given shapes are 2 regular hexagons. (Blue Area : Red Area =?)

Question Image

EASY
IMPORTANT

The diagonal of a quadrilateral-shaped field is 12 m and the perpendiculars dropped on it from the remaining opposite vertices are 6 m and 8 m. Find the area of the field by the method of triangulation.

Question Image

EASY
IMPORTANT

Find the area of the regular pentagon given below by the method of triangulation.

Question Image

EASY
IMPORTANT

Find the area of the below polygon by the method of triangulation.

Question Image

EASY
IMPORTANT

In figure, the measurements are given on the figure itself. The area of quadrilateral ABCD is 

Question Image

EASY
IMPORTANT

If the area of a regular hexagon is 1083 cm2 , its perimeter is_____.

EASY
IMPORTANT

The area of a square shape airport is 2704 m2. A regular hexagon shaped stadium has the same perimeter as the airport. Find the area of hexagon.

EASY
IMPORTANT

If inradius of a regular hexagon is 7 cm. Then find the area of the regular hexagon.

EASY
IMPORTANT

A pizza is in hexagonal shape, it was divided in six equal part and distributed among 3 person. What amount each person got, if side of hexagon is 24 cm?

EASY
IMPORTANT

A stadium is in a shape of regular hexagon of side 18 m. Then find the area of the stadium.

HARD
IMPORTANT

In the Fig, ABCD is a trapezium in which AB||DC, AFCD is a parallelogram, BFC is a triangle. Area of BFC=48 cm2, FB=16 cm and DC=13 cm. Find the area of the trapezium ABCD(excluding units) .

Question Image

HARD
IMPORTANT

Find the area of the trapezium PQRS (excluding units) shown in the figure.

Question Image

HARD
IMPORTANT

Find the area of the field (excluding units) as shown in the Fig. All dimensions are in m.

Question Image

HARD
IMPORTANT

Find the area of the field (excluding units) as shown in the Fig. All diameters are in m.

Question Image