Question

The length and the breadth of a rectangle are $6$ cm and $4$ cm respectively. Find the height of a triangle whose base is $6$ cm and whose area is $3$ times that of the rectangle.

• A. $20$cm
• B. $24$cm
• C. $18$cm
• D. None of the above

Answer 1

The correct option is B $24$cm

The length and the breadth of a rectangle are $6cm$ and $4cm$, respectively
Thus, the area of the rectangle $=6\times 4$ sq. cm
$=24$ sq. cm
Given, Area of the triangle $=3\times 24$ sq. cm
$=72$sq. cm
Area of the triangle $=\frac{1}{2}\times$ base $\times$ height
$\therefore \frac{1}{2}\times$ base $\times$ height $=72$
$=>\frac{1}{2}\times$6 $\times$ height $=72$
$=>$ height $=\frac{72}{3}$$=24$ cm