Question

The area of a rectangle field is 3584 square meter and its lengthis 64 meteres.A girl runs arround the field at the rate of 8km/hr.How long will she take to go 5 times around it​

Answer 1

Answer:

Step-by-step explanation:

Length of the rectangular field = 64 Mtrs. Breadth = 3584/64 = 56 Mtrs. = 5 x 2(Length + Breadth) = 5 x 2(64 + 56) = 10 x 120 = 1200 Mtrs. = 1.2 Kms

Answer 2

GivEn:

• Area of Rectangular field = 3584 m²

• Length of Rectanglular field = 64 m

• Rate at which girl is running = 8 km/h

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To find:

• How long will she take to go 5 times around it?

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SoluTion:

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$\bf We\;have \begin{cases} & \text{Area = 3584 \; m^2 } \\ & \text{Length = 64 m } \end{cases}$

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As we know that,

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$\star\;{\boxed{\sf{\purple{Area\;of\; Rectangle = l \times b}}}}$

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$\;\;\;\;\;\;\sf \underline{Putting\;values\;:}$

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$:\implies\sf 3584 = 64 \times b$

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$:\implies\sf b = \cancel{ \dfrac{3584}{64}}$

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$:\implies\bf \red{b = 56\;m}$

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$\therefore$ Breadth of Rectanglular field is 56 m.

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$\star\sf \;Total\:distance\;to\;be\;run\;by\;girl = 5 \times Perimeter\;of\;field$

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$:\implies\sf Total_{\;distance} = 5 \times 2(l + b)$

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$\;\;\;\;\;\;\sf \underline{Putting\;values\;:}$

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$:\implies\sf Total_{\;distance} = 5 \times 2(64 + 56)$

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$:\implies\sf Total_{\;distance} = 10(64 + 56)$

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$:\implies\sf Total_{distance} = 10 \times 120$

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$:\implies\bf \blue{Total_{\;distance} = 1200\;m \;or\; 1.2\;km}$

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$\;\;\;\star\;\sf Speed\;at\;which\;girl\;is\;running = 6\;km/h$

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$\;\;\;\star\;\sf Distance\; travelled\;by\;girl = 1.2\;km$

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$\therefore\sf Time\;taken\;to\;cover\;5\;rounds = \dfrac{Distance}{Speed}$

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$:\implies\sf \dfrac{1.2}{6} = \cancel{ \dfrac{12}{60}} = \dfrac{1}{5}\;hrs = 0.2\;hrs$

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$:\implies\sf 0.2\;hrs \times 60$

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$:\implies{\underline{\boxed{\bf{\pink{12\; minutes}}}}}\;\bigstar$

$\therefore$ Hence, She take 12 minutes to go 5 times around it.