Question

The perimeter of a square is same as rectangle. If side of a square is same as length of the rectangle is 60cm, then area of rectangle is _____.

Answer 1

Question :

The perimeter of a square is same as rectangle. If side of a square is same as length of the rectangle is 60cm, then area of rectangle is _____.

Answer :

$\sf\pink{Given:}$

• Perimeter of square = Perimeter of rectangle .

• Side of square = length of rectangle

• side of square is 60 cm

• length of rectangle is also 60 cm .

$\sf\pink{To\:find}$

• Area of the rectangle = ?

Explanation :

To find area we need to find the breadth .

We can find the breadth by using the formula perimeter of rectangle is 2(l+b) .

To find the perimeter of rectangle we need to find the perimeter of square because perimeter of square is equal to the perimeter of rectangle .

$\bf\red{Perimeter\:of\: square = 4\times side }$

$\bf\red{Perimeter\:of\: square = 4\times 60 }$

$\bf\red{Perimeter\:of\: square = 240\:cm }$

• Therefore the perimeter of the square is 240 cm .

As perimeter of square equals to perimeter of rectangle .

• Perimeter of rectangle is also 240 cm .

$\bf\purple{Perimeter\:of\: rectangle = 2(l + b)}$

$\longrightarrow\bf\purple{240 = 2(60+ b)}$

$\longrightarrow\bf\purple{240 = 120 + 2b}$

$\longrightarrow\bf\purple{240 - 120 = 2b}$

$\longrightarrow\bf\purple{120 = 2b}$

$\longrightarrow\bf\purple{b = \dfrac{120}{2}}$

$\longrightarrow\bf\purple{b = 60}$

• Therefore breadth of the rectangle is 60 cm

$\bf\green{Area\:of\: rectangle = l\times b}$

$\bf\green{Area\:of\: rectangle =60\times 60}$

$\bf\green{Area\:of\: rectangle = 3600}$

• Therefore area of Rectangle is 3600 cm²

@MissOxford