Question

ROCK is a rectangle with sides 8cm and 6cm. BAND is a rhombus obtained by joining the mid-points of the sides of the rectangle. Find the area of BAND.

• A. 20 cm${}^2$
• B. 24 cm${}^2$
• C. 48 cm${}^2$
• D. 32 cm${}^2$

Answer 1

The correct option is B 24 cm${}^2$


Given:
OC = 8 cm and OR = 6 cm

OC = AD= $d_1$ = 8 cm
OR = NB = $d_2$ = 6 cm

Area of the rhombus BAND
= $\frac{1}{2}\times d_1\times d_2$
= $\frac{1}{2}\times 8\times 6$
= 24 cm${}^2$