MCQ

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

#### Options

a rhombus of area 24 cm

^{2}a rectangle of area 24 cm

^{2}a square of area 26 cm

^{2}a trapezium of area 14 cm

^{2}

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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 area of rhombus = `1/2 (d_1 xx d_2)`

For rhombus EFGH, EG is the one diagonal which is equal to DA

FH is the other diagonal which is equal to AB

area of rhombus = `1/2 (d_1 xx d_2)`

area of rhombus = `1/2 ( 8 xx 6)`

area of rhombus = `1/2 (48)`

area of rhombus = 24 cm^{2}

Concept: Concept of Area

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