Question

By splitting the following figures into rectangles, find their areas (the measures are given in centimeters).

Answer 1

I ) Area of figure $\left(a\right)$

$=$ Area of rectangle ABCM $+$ area of rectangle LCKD $+$ area of rectangle KEFJ $+$ area of rectangle IFGH

$[\text{Area of rectangle}=length\times breadth]$

$=$ Area of $\left[figure\right(1)+figure(2)+figure(3)+figure(4\left)\right]$

$=(4\times 2)+(6\times 1)+(2\times 3)+(2\times 4)$

$=8+6+6+8$

$=28c{m}^2$

ii ) Area of figure $\left(b\right)$

$=$ Area of rectangle IJGH $+$ Area of rectangle ABCJ $+$ Area of rectangle DEFG

$=$ Area of $\left[figure\right(1)+figure(2)+figure(3\left)\right]$

$=(5\times 1)+(2\times 1)+(2\times 1)$

$=5+2+2$

$=9c{m}^2$