Question

In the diagram shown, $ABCD$ is a parallelogram and $CDEF$ is a rectangle. The total area of the whole figure is

• A. $35c{m}^2$
• B. $30c{m}^2$
• C. $25c{m}^2$
• D. $20c{m}^2$

Answer 1

Answer: (C)

$25c{m}^2$

Total area of the whole diagram $=$ Area of parallelogram $ABCD+$ Area of rectangle $CDEF$

Area of parallelogram$ABCD=$ base$\times$height

$=5\times 3c{m}^2$

$=15c{m}^2$

Area of rectangle $CDEF=2\times 5c{m}^2$

$=10c{m}^2$

Let $A$ be the total area of figure,

$A=(15+10)c{m}^2$

$=25c{m}^2$