Question

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

Answer 1

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).