Question

Find the cost of laying grass in a triangular field of side 50m ,65m,65m at the rate of rs.7mper square

Answer 1

Hello here is your answer by Sujeet yaduvanshi
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Question:-Find the cost of laying grass in a triangular field of side 50m ,65m,65m at the rate of rs.7mper square

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Solution:-

GIVEN:-Sides if Triangular Field 50m ,65m,65m
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Also Given:- The cost of laying grass at the rate of field=7m²
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Method of Solution:-

We know that Semi perimeter of triangle=a+b+c/2

then,
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Semi perimeter=(a+b+c)/2
=180/2=90  m.
Area:\sqrt{s(s-a)(s-b)(s-c)}s(s−a)(s−b)(s−c)​ 
⇒\sqrt{90(90-65)(90-65)(90-50)}90(90−65)(90−65)(90−50)​ 
⇒\sqrt{90*25*25*40}90∗25∗25∗40​ 
=\sqrt{5 ^{6}*2 ^{4} *3^{2} }56∗24∗32​ 

=)125×4×3
=)1500
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Now.

According to the question:-
Cost of lying grass=1500×7
=10500

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Answer:- 10500
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Thanks!!!!!

@Sujeet

Answer 2

$\large{\boxed{\bold{Answer:}}}$

We will use Heron's Formula here,

$s = \frac{a + b + c}{2} \\ \\ = \frac{180}{2} = 90 \\ \\ Area = \sqrt{s(s - a)(s - b)(s - c)} \\ \\ = > \sqrt{90(90 -65)(90 - 65)(90 - 50) } \\ \\ = > \sqrt{90 \times 25 \times 25 \times 40} \\ \\ = > 3 \times 2 \times 10 \times 25 \\ \\ = > 6 \times 250 = 1500 {m}^{2}$

Cost = 1500 × 7 = 10500 rupees

$\large{\boxed{\bold{Hope\:it\:helps\:you!}}}$