Question

38. The area of a triangular field is
96 m2. If the ratio of base and its
height is 3:1, then the base (in m)
of the triangular field is
(1) 8
(2) 12
(3) 16
(41 24​

Answer 1

Answer:

8

Step-by-step explanation:

the above method is to be performed fast. so we saved calculation

Answer 2

$\huge\mathbb{\underline{SOLUTION:-}}$

$\bf{Given:-}\begin{cases}\sf{Area\:of\: triangle=96m{}^{2}}\\ \sf{Ratio\:of \:base\:and\: height}\\ \sf{base:height=>3:1}\end{cases}$

• Let the base and height of triangle be x
• Then base =3x and height =x
• Then area

$\bf\underline{\underline{According\:to\: Question:-}}$

$\sf\implies 96=\frac{1}{2}\times 3x\times x\\ \\ \sf\implies 96\times 2=3x{}^{2}\\ \\ \sf\implies 192=3x{}^{2}\\ \\ \sf\implies \cancel{\frac{192}{3}}=x{}^{2}\\ \\ \sf\implies 64=x{}^{2}\\ \\ \sf\implies \sqrt{64}=x\\ \\ \sf\implies x=8$

• The value of x is 8

$\sf\underline{\underline{\longrightarrow 3x}}$

$\sf\implies 3\times 8=24m$

$\sf\underline{\underline{\longrightarrow x}}$

$\sf\implies 8m$

$\boxed{\sf{\purple{base=24m}}}$

Option 4 is correct option ✔️

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