Question

the area of a square park is same as the area of a rectangular park.if the length and breadth of the rectangular park is 80m and 45m respectivelly. find the perimeter of the square park

Answer 1

✬ Perimeter = 240 m ✬

Step-by-step explanation:

Given:

• Area of square park is same as the area of a rectangular park.
• Length & Breadth of rectangular park is 80 m and 45 m.

To Find:

• What is the perimeter of the square park ?

Solution: Let the side of square park be s m. As we know that

★ Area of Square = (Side)²

So,

➱ Area of Square park = s².......(1)

Now, the area of rectangular park is

★ Area of Rectangle = (Length $\times$ Breadth) ★

Here,

• Length = 80 & Breadth = 45 m

$\implies{\rm }$ Area = (80 $\times$ 45) m²

$\implies{\rm }$ Area = 3600 m²......(2)

According to the question

• Equation 1 = Equation 2

$\implies{\rm }$ Ar. square park = Ar. rectangular park

$\implies{\rm }$ s² = 3600

$\implies{\rm }$ side = √3600

$\implies{\rm }$ side = √60 $\times$ 60

$\implies{\rm }$ side = 60 m

∴ Measure of each side of square park is 60 m. Therefore,

★ Perimeter of Square = 4(Side) ★

➟ Perimeter of square park = 4(60)

➟ Perimeter = 240 m

Hence, the perimeter of the square park is 240 m.

Answer 2

GIVEN:

• The area of a square park is same as the area of a rectangular park.
• Length of rectangular park = 80 m
• Breadth of rectangular park = 45 m

TO FIND:

• What is the perimeter of the park ?

SOLUTION:

We have given that, the area of square park is equal to the area of rectangular park.

$\large\bf{\star \: (Side)^2 = Length \times Breadth \: \star}$

Let the side of the square park be 'a' m

According to question:-

$\sf{\rightharpoonup a^2 = 80 \times 45 }$

$\sf{\rightharpoonup a^2 = 3600 }$

$\sf{\rightharpoonup a = \sqrt{3600}}$

$\bf{\rightharpoonup a = 60 \: m }$

❛ The side of the square park is 60 m ❜

We know that, the formula for finding the perimeter of the square park is:-

$\large\bf{\star \: Perimeter = 4 \times side \: \star}$

On putting the given values in the formula, we get

$\sf{\rightharpoonup Perimeter = 4 \times 60 }$

$\bf{\rightharpoonup \star \: Perimeter = 240 \: m \: \star}$

❝ Hence, the perimeter of the square park is 240 m ❞

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