Question

The perimeter of a rectangle field is 240m and ratio between the length and breadth is 5:3 find the are area of the field​

Answer 1

Question:-

The perimeter of a rectangle field is 240m and ratio between the length and breadth is 5:3 find the are area of the field

Answer:-

• The area of rectangle is 3375 m².

To find:-

• Area of rectangle

Solution:-

• Perimeter of rectangle = 240 m
• Ratio = 5:3

Put x in the ratio,

• Length = 5x
• Breath = 3x

As we know,

$\large{ \boxed{ \mathfrak{perimeter = 2(l + b)}}}$

Where,

• l = length of rectangle
• b = breadth of rectangle

According to question,

$\large{ \tt : \implies \: \: \: \: \: \: \: \: \: \: 2(5x + 3x) = 240}$

$\large{ \tt : \implies \: \: \: \: \: \: \: \: \: \: 8x = \frac{240}{2} }$

$\large{ \tt : \implies \: \: \: \: \: \: \: \: \: \: 8x = 120}$

$\large{ \tt : \implies \: \: \: \: \: \: \: \: \: \: x = \frac{120}{8} }$

$\large{ \tt : \implies \: \: \: \: \: \: \: \: \: \: x = 15}$

• The value of x is 15 m

Now,

• length = 5x = 75 m
• breadth = 3x = 45m

We have to find the area of rectangle.

As we know,

$\large{ \boxed{ \mathfrak{area = l \times b}}}$

Where,

• l = length of rectangle
• b = breadth of rectangle

According to question,

$\large{ \tt : \implies \: \: \: \: \: \: \: \: \: area = 75 \times 45}$

$\large{ \tt : \implies \: \: \: \: \: \: \: \: \: area = 3375}$

Hence,

The area of rectangle is 3375 m².

Answer 2

Step-by-step explanation:

54000m^2

explained in picture