Question

The side of a rhombus is $10cm$ and one diagonal is $16cm$. The area of the rhombus is

• A. $96c{m}^2$
• B. $95c{m}^2$
• C. $94c{m}^2$
• D. $93c{m}^2$

Answer 1

The correct option is A $96c{m}^2$

Area of rhombus ABCD$=2\times ar.△ABD$

$ar.△ABD=\sqrt{S(S-a)(S-b)(S-c)}$

$S=\frac{10+10+16}{2}=18cm$

$ar.△ABD=\sqrt{18(18-10)(18-10)(18-16)}=\sqrt{18\times 8\times 8\times 2}=8\times 6=48cm62$

$\therefore ar.ABCD=2\times 48=96c{m}^2$