Question

6. The ratio of the length of a school ground to its width is 5:2. Find its length if the width is 40 metres​

Answer 1

Given: The ratio of the length of a school ground to its width is 5:2.

Need to find: Length of the school ground.

❒ Let the length and width of the school ground be 5x and 2x respectively.

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$\underline{\boldsymbol{According\: to \:the\: Question :}}$

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• The width of the school ground is 40 m.

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Therefore,⠀

$:\implies\sf 2x = 40 \\\\\\:\implies\sf x = \cancel\dfrac{40}{2} \\\\\\:\implies{\underline{\boxed{\sf{x = 20}}}}$⠀

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Now,

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★ Length of the school ground is,

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$:\implies\sf Length = 5x \\\\\\:\implies\sf 5 \times 20 \\\\\\:\implies{\underline{\boxed{\sf{Length = 100\;m}}}}$

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$\therefore{\underline{\sf{Hence,\: length\; of\;the\: school\; ground\;is\; \bf{100\;m }.}}}$

Answer 2

Answer:

Given :-

• The ratio of the length of a school ground to its width is 5 : 2 and the width is 40 metres.

To Find :-

• What is the length of a school ground.

Solution :-

Let, the length be 5x

And, the width will be 2x

According to the question,

⇒ $\sf 2x = 40$

⇒ $\sf x =\: \dfrac{\cancel{40} \: ^{20}}{\cancel{2} \: ^{1}}$

⇒ $\sf x =\: \dfrac{20}{1}$

➠ $\sf\bold{\red{x =\: 20\: m}}$

Hence, the required length and width will be,

✧ Length = 5x = 5(20) = 100 m

✧ Width = 2(20) = 40 m

$\therefore$ The length of a school ground is 100 m .

${\purple{\boxed{\large{\bold{VERIFICATION :-}}}}}$

↦ $\sf 2x =\: 40$

By putting x = 20 we get,

↦ $\sf 2(20) =\: 40$

↦ $\sf 2 \times 20 =\: 40$

↦ $\sf 40 =\: 40$

➦ LHS = RHS

Hence, Verified ✔