Question

2 points
16. The ratio between the length and the width of
the sheet of paper is 5:3. If the length of the sheet
is 25 cm, find its width.
O 20 cm
O 25 cm
O 15 cm
O 10 cm​

Answer 1

• The value of the width (i.e. breadth) is 15 cm

Step-by-step explanation:

Given:

• The ratio of length and width is 5:3
• The length is 25 cm

To find:

The value of the width of the rectangle.

Let the length be 5x cm

and let width be 3x cm

Now,

⇒ 5x = 25

⇒ x = 25 ÷ 5

⇒ x = 5

So, x = 5

Now,

The width of the rectangle is 3x = 3 * 5 = 15 cm

-------------

About a rectangle,

• It a quadrilateral in which opposite sides are equal.
• The opposite sides are parallel to each other.
• All four interior angles of the rectangle are 90° each.
• The diagonals of the rectangle are equal in lengths.

⇒ To find the area of a rectangle, we use

= length * breadth units sq.

⇒ To find the perimeter of a rectangle, we use,

= 2(length + breadth)

• When, two adjacent sides of a rectangle are given, and it is asked to find the diagonal, we use 'Pythagoras Theorem'

→ (Hypotenuse)² = (Perpendicular)² + (Base)²

In the rectangle, the diagonal is the Hypotenuse, and the other two sides are perpendicular, and base.

Answer 2

Given Question :-

The ratio between the length and the width of the sheet of paper is 5:3. If the length of the sheet is 25 cm, find its width.

A. 20 cm

B. 25 cm

C. 15 cm ✔

D. 10 cm

Solution :-

Let,

⚡Length Of Rectangle = 5x.

⚡Width Of Rectangle = 3x.

Now, According To Question,

5x = 25.

➜ x = 25/5.

➜ x = 5.

Value Of X = 5.

Now, Calculating Width,

Width = 3x = 3 × 5 = 15 cm.

Hence, Correct Answer = Option [C].