Area of a polygon is

In the given figure if the area of the blue shaded right angled triangle is $1{\mathrm{cm}}^2$. Then find the area of the square $ABCD$.

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

Find the area of the composite shape in the given figure.

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 $=$?)

Find the area of the blue shaded portion for the given figure below.

What is the area of this trapezoidal garden (All measurements are in cm)? 

1. $60$ sq.cm
2. $180$ sq.cm
3. $210$ sq.cm 
4. $240$ sq.cm

Let $A_1, A_2$ and $A_3$ be the regions on $R^2$ defined by

$A_1=\left\{\left(x,y\right):x\ge 0,y\ge 0,2x+2y-x^2-y^2>1>x+y\right\}$

$A_2=\left\{\left(x,y\right):x\ge 0,y\ge 0,x+y>1>x^2+y^2\right\}$

$A_3=\left\{\left(x,y\right):x\ge 0,y\ge 0,x+y>1>x^3+y^3\right\}$

Denote by $\left|A_1\right|, \left|A_2\right|$ and $\left|A_3\right|$ the areas of the regions $A_1, A_2$ and $A_3$ respectively. Then

A wire when bent in the form of a square encloses an area of $484 sq. cm$. If the same wire is bent in the form of a circle, what is the area enclosed by it?