Question

the ratio of the length of a rectangular plot to its breadth is 7:3. if the length is 280m,find the breadth of plot.​

Answer 1

Question:-

the ratio of the length of a rectangular plot to its breadth is 7:3. if the length is 280m,find the breadth of plot.

Answer:-

• The breadth of rectangle is 120 m

To find:-

• Breadth of rectangle

Solution:-

• Ratio of length and breadth of rectangle = 7:3

Let,

• Length of rectangle = 7x
• Breadth of rectangle = 3x

Given,

• Length of rectangle = 280 m

According to question,

$\large{ \rm : \implies \: \: \: \: \: \: \: \: \: \: \: \: 7x = 280}$

$\large{ \rm : \implies \: \: \: \: \: \: \: \: \: \: \: \: x = \frac{280}{7} }$

$\large{ \rm : \implies \: \: \: \: \: \: \: \: \: \: \: \: x = 40}$

• The value of x is 40.

Thus,

$\large{ \rm : \implies \: \: \: \: \: \: \: \: \: \: \: \: breadth = 3x}$

$\large{ \rm : \implies \: \: \: \: \: \: \: \: \: \: \: \: breadth = 3 \times 40}$

$\large{ \rm : \implies \: \: \: \: \: \: \: \: \: \: \: \: breadth = 120}$

Hence,

The breadth of rectangle is 120 m.

Answer 2

Given:-

• Ratio of the length of a rectangular plot to its breadth is 7:3.
• It's length is 280 m.

⠀

To find:-

• The breadth of the plot.

⠀

Solution:-

Let,

• the length of rectangle be 7x.
• the breadth of rectangle is 3x.

⠀

→ 7x = 280

→ x = 280/7

→ x = 40

⠀

• Putting the value of x.

⠀

→ 3x

→ 3 × 40

→ 120 m

⠀

Hence,

• the breadth of the plot is 120 m.