The figure formed by joining the midpoints of the adjacent sides of a rectangle of sides 8 cm and 6 cm is a

Options

A. rectangle of area `24 cm^(2)`
B. square of area `24 cm^(2)`
C. trapezium of area `24 cm^(2)`
D. rhombus of area `24 cm^(2)`

Answer

D

Explanation

Clearly, PQRS is a rhombus whose area is
`(1)/(2)xxPRxxSQ=((1)/(2)xx6xx8)cm^(2)=24cm^(2)`.