The figure obtained by joining the mid-points of the adjacent sides of a rectangle of sides 8 cm and 6 cm is

(a) a rhombus of area 24 cm²

(b) a rectangle of area 24 cm²

(c) a square of area 26 cm²

(d) a trapezium of area 14 cm²

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Solution

Given: Rectangle with sides 8 cm and 6cm
To find: Area of the figure which is formed by joining the midpoints of the adjacent sides of rectangle.
Calculation: Since we know that
For rhombus EFGH, EG is the one diagonal which is equal to DA
FH is the other diagonal which is equal to AB
Hence the result is option (a).

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