Question

mark) The area of square field is 1521 m². A rectangular field, whose le ble its breadth, has its perimeter equal to the perimeter of the squ the area of the rectangular field.​

Answer 1

$\rm\small \green{Given:-}$

$\rm\bullet Length = 2x$

$\rm\bullet Breadth = x$

$\rm\bullet Perimeter = 39 \times 4 = 156$

$\rm\small\green{Find:-}$

• perimeter equal to the perimeter of the squ the area of the rectangular field.

$\rm\small\green{Solution:-}$

First find perimeter,

$\rm\rightarrow \: 2x + 2x + x = 156$

$\rm\rightarrow6x = 156$

$\rm\rightarrow \: x \: = \frac{156}{6}$

$\rm\rightarrow \purple{26}$

Now, find Area.

$\rm\rightarrow \: Area = 2x + x$

$\rm\rightarrow2 \times 26 \times 26$

$\rm\rightarrow \purple{1352 {m}^{2} }$

$\rule{30mm}{1mm}$

Answer 2

Answer:

• The area of the rectangle is 1352m²

Step-by-step explanation:

Given:

• The area of square field is 1521 m²
• The length of the rectangle is twice its breadth
• The perimeter of the rectangle is equal to the perimeter of square

To Find:

• The area of the rectangular field

Formulas used:

• Area of a square = Side × Side
• Perimeter of a square = 4 × Side
• Area of a rectangle = Length × Breadth
• Perimeter of a rectangle = 2 ( l + b )

Assumptions:

• Let the length  of the rectangle be 2x

• Let the breadth of the rectangle be x

Full Solution:

★ Now let's find the side of the square

⟶ Area of a square = Side × Side

⟶ 1521 m² = Side ²

⟶ Side = √1521 m²

⟶ Side = 39 m

∴ The side of the square id 39 m

★ Now let's find the perimeter

⟶ Perimeter of a square = 4 × Side

⟶ Perimeter of the square = 4 × 39 m

⟶ Perimeter of the square = 156 m

∴ The perimeter of thee square is 156 m

★ Now let's find the dimensions of the rectangle

⟶ Perimeter of a rectangle = 2 ( L + B )

⟶ 156 m = 2 ( 2x + x )

⟶ 156 m = 2(3x)

⟶ 156 m = 6x

⟶ x = 156 m / 6

⟶ x = 26 m

★ Now their measures will be

• Length of the rectangle = 2x = 52m
• Breadth of thee rectangle = x = 26m

∴ The dimensions are 52 m and 26 m respectively

★ Now let's find the area of the rectangle

⟶ Area of a rectangle = Length × Breadth

⟶ Area of the rectangle = 52 m × 26 m

⟶ Area of the rectangle = 1352 m²

∴ The area of the rectangle is 1352 m²

Hence forth :

• The area of the rectangular field is 1352m²