Question

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

Answer 1

$\bold{Area \: \: of \: rectangle = \: \: length × breadth } \\ \\ \bold{ Area of triangle = \frac{1}{2}×base×height }$


Given, Both are equal,


$20 \times 15 = \frac{1}{2} \times 30 \times height \\ \\ => \frac{20 \times 15 \times 2}{30} = height$


=> 20 cm = height

Answer 2

Heya !!



Length of rectangle = 20 cm



And,


Breadth of rectangle = 15 cm




Area of rectangle = L × B




=> 20 × 15


=> 300 cm².





Base of triangle = 30 cm



Let height of triangle is X cm.



Therefore,



Area of triangle = 1/2 × Base × Height





=> 1/2 × 30 × X



=> 15X cm²











According to the question,





Area of triangle = Area of rectangle





15X = 300




X = 300/15



X = 20 cm



Height of triangle = X = 20 cm.