Question

Each side of a rhombus is $26cm$ and one of its diagonals is $48cm$ long. The area of the rhombus is:

• A. $240{cm}^2$
• B. $300{cm}^2$
• C. $360{cm}^2$
• D. $480{cm}^2$

Answer 1

The correct option is D $480{cm}^2$

R.E.F image

$BD=48cm$

area of rhombus =

area of $△BCD$ +area of $△ABD$

= 2 area of $△BDC$

area of $△BDC\to$

$s=\frac{48+26+26}{2}=50$

area $=\sqrt{50(50-48)(50-26)(50-26)}$

$=\sqrt{50\times 2\times 24\times 24}$

$=10\times 24$

$=240c{m}^2$

Area of rhombus$=480c{m}^2$