Question

The area of triangle is equal to the area of a rectangle whose length and breadth are 20.com
and 15 cm respectively. Calculate the height of the triangle if its base measures 30 cm
​

Answer 1

Answer:

20 cm

Step-by-step explanation:

Length of the rectangle = 20 cm

Breadth of the rectangle = 15 cm

Area of rectangle = l × b

= 20 × 15 cm = 300 cm²

Area of triangle = 300 cm²

Base of triangle = 30 cm

½ × 30 × h = 300

H = 20 cm

Height of triangle = 20 cm

Answer 2

Given:-

• Area of the Triangle is equal to area of the Rectangle.

• Dimensions of rectangle is 20 cm × 15 cm.

• Base of Triangle is 30 cm.

To Find:-

• Height of the Triangle.

Solution:-

Here, It is given that Area of the Triangle is equal to area of the Rectangle.

So, Area of Rectangle = Length × Breadth

                          i.e.,   20 cm × 15 cm

Let the Height of the Triangle be $\sf{x\ cm}$ .

And, Area of Triangle = $\sf{\dfrac{1}{2} \times Base \times Height}$

                          i.e.,   $\sf{\dfrac{1}{2} \times 30\ cm\ \times x\ cm}$

Now, Area of Rectangle = Area of Triangle

⇒  $\sf{20\ cm \times 15\ cm = \dfrac{1}{2} \times 30\ cm \times x \ cm}$

⇒  $\sf{300\ cm^{2} = \dfrac{1}{\not{2}} \times \not{3}\not{0} \times x}$

⇒  $\sf{x = \dfrac{300\ cm^{2}}{15\ cm}}$

⇒  $\underline{\boxed{\sf{x = 20\ cm}}}$

$\rm{Hence,\ Height\ of\ the\ Triangle\ is \ 20\ cm.}$

Some Important Terms:-

• Perimeter of Triangle = Sum of all sides

• Perimeter of Rectangle = 2 ( Length + Breadth )