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The Figure Obtained by Joining the Mid-points of the Adjacent Sides of a Rectangle of Sides 8 Cm and 6 Cm is - Mathematics

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 cm2

  • a rectangle of area 24 cm2

  • a square of area 26 cm2

  •  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 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 cm2

 

 

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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 14 Areas of Parallelograms and Triangles
Q 9 | Page 61
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