Question

A recrangle is divided into a certain number of equal parts.if 16 of the parts so formed represents the fraction 2/5 find the number of parts in which the rectangle has been divided.​

Answer 1

Given:

✰ A rectangle is divided into a certain number of equal parts.

✰ 16 of the parts so formed represents the fraction 2/5

To find:

✠ The number of parts in which the rectangle has been divided.

Solution:

➤ First we will consider that the rectangle has been divided into x parts. Now, we need to find the value of x which is equal to the the number of parts in which the rectangle has been divided, then according to the question, we have 16 divided by the number of parts in which the rectangle has been divided is equal to the fraction 2/5. After that by cross multiplication method we will get value of x i.e, the number of parts in which the rectangle has been divided.

Let the number of parts in which the rectangle has been divided be x

According to question,

⟹ 16/x = 2/5

By cross multiplication, we have

⟹ 16 × 5 = 2x

⟹ 2x = 80

⟹ x = 80/2

⟹ x = 40

∴ The number of parts in which the rectangle has been divided = 40 parts

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Answer 2

Answer:

Given :-

• A rectangle is divided into a certain number of equal parts. If 16 of the parts so formed represents the fraction ⅖.

To Find :-

• What is the number of parts in which the rectangle has been divided.

Solution :-

Let, the number of parts in which the rectangle has been divided be x

$\bigstar \: \boxed{\sf{According\: to\: the\: question\: :-}}$

↦ $\sf \dfrac{2}{5} =\: \dfrac{16}{x}$

By doing cross multiplication we get,

↦ $\sf 2x =\: 5 \times 16$

⇒ $\sf 2x =\: 80$

↦ $\sf x =\: \dfrac{\cancel{80}}{\cancel{2}}$

➠ $\sf\bold{\red{x =\: 40}}$

$\therefore$ The number of parts in which the rectangle has been divided is 40 .