Question

The perimeter of a triangular field is 300 cm and its sides are in the ratio 3:5:2. Find its area.
Please provide step by step answer.

Answer 1

Answer:

buddy u can solve IT by this way just change the ratio numbers

hope it's helpful to you, buddy.

Answer 2

${\large{\underline{\underline{\pmb{\frak{Correct\;question:-}}}}}}$

• The sides of a triangular plot are in the ratio of 3:5:7 and its perimeter is 300m. Find its area.

${\large{\underline{\underline{\pmb{\frak{Given:-}}}}}}$

• The perimeter of a triangular field is 300 cm
•   Sides of that triangle are in the ratio 3:5:7.

${\large{\underline{\underline{\pmb{\frak{To \; find:-}}}}}}$

• Find its area.

${\large{\underline{\underline{\pmb{\frak{solution:-}}}}}}$

~As we know that,  

⍟ Perimeter of a triangle = Sum of all sides

⍟ Area of a triangle = $\bf \sqrt{s(s-a)(s-b)(s-c)}$

Where,  

• s is semi-perimeter
• a,b,c are sides  

⍟ Semi-perimeter of triangle = Perimeter/2

Let the sides of the triangle be ::

》3x

》5x

》7x

[ According to the given ratios ]  

Finding value of x :-

⟶ 3x + 5x + 7x = 300  

⟶ 15x = 300  

⟶ x = 300/15  

⟶ x = 20  

Finding the sides :-

» First side = 3x = 3 × 20 = 60cm

» Second side = 5x = 5 × 20 = 100cm

» Third side = 7x = 7 × 20 = 140cm

Finding the semi-perimeter :-

⟶ 300cm/2  

⟶ 150cm  

Finding the area :-

$\sf \implies \sqrt{ 150( 150-60)(150-100)(150-140)}$

$\sf \implies \sqrt{ 150( 90 )(50)(10)}$

$\sf \implies \sqrt{ 150 \times 90 \times 50 \times 10}$

$\sf \implies \sqrt{ 6750000}$

$\sf \implies 1500 \sqrt{3} \; m^{2}$

Henceforth,  

• Area of the triangular plot is 1500√3 m²