Question

The ratio of the sides of a rectangle is 3 : 4. If breadth is 15 m, then find the perimeter and area.​

Answer 1

$\red{☆ \: <u>Question :</u>}$

• The ratio of the sides of a rectangle is 3 : 4. If its breadth is 15m, then find the perimeter and area of the rectangle.

$\red{☆ \: Answer :}$

• Perimeter of the rectangle = 70m
• Area of the rectangle = 300m²

$\red{☆ \: Explanation :}$

Given :

• Ratio of two sides of a rectangle = 3:4

• Breadth of rectangle = 15 m

To Find :

• Perimeter of rectangle?
• Area of rectangle?

Solution :

• Breadth of rectangle = 3x (given)
• Length of rectangle = 4x (given)

According to question,

• 3x = 15 (Because breadth is 15m given)

$\implies \: x \: = \: \frac{15}{3}$

$\implies \: x \: = \: 5$

Now,

$Breadth\: of \: rectangle \: = \: 3x \\ = 3 \: \times \: 5 \\ = \: 15 \: m$

And,

$Length \: of \: rectangle \: = \: 4x \\ = \: 4 \: \times \: 5 \\ = \: 20 \: m$

For Finding the Perimeter of the rectangle,

$Perimeter \: of \: rectangle= 2 \times (l + b)$

$\implies \: 2 \: \times \: (20 + 15)$

$\implies \: 2 \: \times \: (35)$

$\implies \: 70$

$\green\therefore\green{Perimeter \: of \: rectangle= 70m}$

For Finding the Area of the rectangle,

$Area \: of \: rectangle = l \times b$

$\implies \: 20 \: \times \: 15$

$\implies \: 300$

$\green\therefore \green{Area \: of \: rectangle \: = \: 300 {m}^{2} }$