Math, asked by hasithakasu03, 4 months ago

Mona is 18years old. Her younger brother’s age is 3 more than one third of her age. Find the ratio of their ages (Mona’s age : Brother’s age).

Answers

Answered by Aloneboi26
0

Step-by-step explanation:

Step-by-step explanation:

Step-by-step explanation:

Step-by-step explanation:

Step-by-step explanation:

Given :

Area of Trapezium is 384 cm² .

Parallel sides of trapezium are in the ratio 3:5 .

Perpendicular distance / Height is 12 cm .

To Find :

Length of each parallel sides .

Solution :

\longmapsto\tt{Let\:one\:parallel\:side\:be=3x}

\longmapsto\tt{Let\:other\:parallel\:side\:be=5x}

Using Formula :

\longmapsto\tt\boxed{Area\:of\:Trapezium=\dfrac{1}{2}\times{(Sum\:of\:parallel\:sides)}\times{h}}

Putting Values :

\longmapsto\tt{384=\dfrac{1}{{\cancel{2}}}\times{(3x+5x)}\times{{\cancel{12}}}}

\longmapsto\tt{384=(3x+5x)\times{6}}

\longmapsto\tt{384=18x+30x}

\longmapsto\tt{384=48\:x}

\longmapsto\tt{x=\cancel\dfrac{384}{48}}

\longmapsto\tt\bf{x=8}

Value of x is 8 .

Therefore :

\longmapsto\tt{Length\:of\:one\:parallel\:side=3(8)}

\longmapsto\tt\bf{24\:cm}

\longmapsto\tt{Length\:of\:other\:parallel\:side=5(8)}

\longmapsto\tt\bf{40\:cm}

So , The Parallel sides of Trapezium are 24 cm and 40 cm .

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