# 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

#### 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

Is there an error in this question or solution?

#### APPEARS IN

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