Q26. - Geometry

Question

If the area of $▱PQRS$ is 36 and T is a point on$\overline{PQ}$ . Find the area of $△RST$ (Hint: Draw a diagram.)

Step-by-Step Solution

Answer

The area of$△RST$ is18 square unit.

Step 1. Draw the diagram.

Let Base=b and Height=h

Step 2. Find the area of parallelogram.

Area of parallelogram can be found using the formula

$\begin{array}{l}A=bh\\ 36=bh\end{array}$

Step 3. Find the area of triangle.

Area of triangle$△RST$ can be found using the formula 

$\begin{array}{c}A=\frac{1}{2}bh\\ =\frac{1}{2}\left(36\right)\\ =18\end{array}$

Therefore, the area of given figure is18 Square unit.