Question

A villager has a triangular field measuring 70m, 240m and 250m. He donates 1/3rd of field to a children home, which grows vegetables in it. Find the area of the field available for growing vegetables. Write the value reflected in this question.

Answer 1

Hi friend✋✋✋✋
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Your answer
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Measure of sides of a triangular field = 70m , 240 m and 250 m

Semi perimeter = S = (a + b + c)/2 = (70 + 240 + 250)/2 = 280

Finding the area of the total field by using Heron's formula.

$\sqrt{s(s - a)(s - b)(s - c)} \\ \\ = > \sqrt{280(280 - 70)(280 - 240)(280 - 250)} \\ \\ = > \sqrt{280 \times210 \times 40 \times 30 } \\ \\ = > 8400 \: m {}^{2}$
Therefore,
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Area of the field = 8400 m²

Area of land donated to the children's home = (1/3 × 8400) m²= 2800 m²

Thus, area of land available for growing vegetable is 2800 m².

The values depicted by the farmer are generosity , kindness and selflessness.

HOPE IT HELPS