Math, asked by kamlarana576, 6 hours ago

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.​

Answers

Answered by Anonymous
64

\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}

Answered by Anonymous
39

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
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