Question

Area of kali's triangular field and hameeda's rectangular field is equal. Length and breadth of hameeda's field is 20 cm and 15 cm respectively. If length of base of kall's field is 25 cm, then find its height.

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Answer 1

Let B and h be the base and height of kale's triangular field.

Let l and b be the length and breadth of hameeda's rectangular field.

Given,

$l=20$cm, $b=15$cm and $b=25$cm

$\therefore$ Area of Kali's triangular field, $A=\frac{1}{2}\times B\times h$

Area of Hameed's rectangular field $A_2=l\times b$

It is given that, $A_1=A_2$

$\Rightarrow \frac{1}{2}\times B\times h=l\times b$

$\Rightarrow h=\frac{2\times l\times b}{B}$

$=\frac{2\times 20\times 15}{25}$

$=24$cm

Hence height of the Kali's triangular field $=24$cm.