The area of a square field is $24, 200 m^{2}$ $24,200 m^2$ . How long will Maya take to cross the field diagonally at the rate of 6.6 km/hr?

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The area of a square field is $24, 200 m^{2}$ $24,200 m^2$ . How long will Maya take to cross the field diagonally at the rate of 6.6 km/hr?

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Answer 1 · 2018-03-04T19:42:22

2 minutes

Explanation:

If a square field has area 24200 $m^{2}$ $m^2$ , then we can find out its side length, s, in meters:

$s^{2} = 24200 = 2 \cdot 121 \cdot 100 = 2 \cdot 11^{2} \cdot 10^{2}$ $s^2 = 24200 = 2 cdot 121 cdot 100 = 2 cdot 11^2 cdot 10^2$
$s = 110 \sqrt{2}$ $s = 110sqrt2$

We can use Pythagorean theorem to find out the length of the diagonal, d, in meters:
$s^{2} + s^{2} = d^{2} \to d^{2} = 2 s^{2} \to d = s \sqrt{2}$ $s^2 + s^2 = d^2 rightarrow d^2 = 2s^2 rightarrow d = ssqrt2$
so $d = 220$ $d = 220$ .

If Maya's speed is 6.6 km/hr that means it's 6600 m / hr. She has to run 220 meters, so she will take

$220/6600 \ hr = 1/30 \ hr= 2\ min$

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The area of a square field is $24, 200 m^{2}$ $24,200 m^2$ . How long will Maya take to cross the field diagonally at the rate of 6.6 km/hr?

1 Answer

Explanation:

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The area of a square field is $24, 200 m^{2}$ $24,200 m^2$ . How long will Maya take to cross the field diagonally at the rate of 6.6 km/hr?