Question

If the diagonals of a rhombus are $24cm$ and $10cm$, then the area and perimeter of the rhombus are respectively

• A. $120sqcm,52cm$
• B. $240sqcm,52cm$
• C. $120sqcm,64cm$
• D. $240sqcm,64cm$

Answer 1

The correct option is A $120sqcm,52cm$

Each side of the rhombus $=\sqrt{{\left(\frac{24}{2}\right)}^2+{\left(\frac{10}{2}\right)}^2}$
$=\sqrt{{12}^2+5^2}=\sqrt{144+25}=\sqrt{169}=13cm$
$\therefore$ Area of the rhombus $=\frac{1}{2}\times 24cm\times 10cm$ $=120c{m}^2$

Perimeter of rhombus $=4\times side=4\times 13=52$ sq cm.