Question

The side of a rhombus is 25 m and length of one of its diagonals is 48 m. The area of the rhombus is ____

• A. 168 sq. m
• B. 336 sq. m
• C. 600 sq. m
• D. 672 sq. m

Answer 1

The correct option is B 336 sq. m

To find other diagonal of the rhombus,
Apply pythagoras theorem,
${25}^2=(\frac{48}{2}{)}^2+x^2$
${25}^2-{24}^2=x^2$
$x^2=625-576=49$
$x=7$
Other diagonal $=7\times 2=14m$
Now, find the area of rhombus,
Area $=\frac{1}{2}\times$ (Product of diagonals)
$=\frac{1}{2}\times 48\times 14=336sq.m$