Question

The area of a square and a rectangle are equal. If the side of the square is60cm and the breadth of the rectangle is 40 cm, find the length of therectangle. Also, find the perimeter of the rectangle

Answer 1

Step-by-step explanation:

area of square=area of rectangle

side×side=length×breadth

60×60=length×40

length=3600/40

=90cm

Perimeter of rectangle=2(l+b)

=2(90+40)

=2×130

=260cm

Answer 2

Given :-

• The area of a square and a rectangle are equal.

• The side of the square is 60cm and the breadth of the rectangle is 40 cm

To Find :-

•  Find the length of the rectangle.
•  Find the perimeter of the rectangle

Solution :-

~Here, we’re given the side of a square by which we can find it’s area by putting the formula. Then , we can find the length of the rectangle by putting the values in the formula of it’s area as we’re given it has the same area as of the square. After finding the length we can easily find the perimeter by applying it’s formula .

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As we know that ,

$\boxed{\sf{ \maltese \;\; Area\;of\;square = Side \times Side }}$

$\boxed{\sf{ \maltese \;\; Area\;of\;rectangle = l \times b }}$

$\boxed{\sf{ \maltese \;\; Perimeter\;of\;rectangle = 2( l + b ) }}$

Where,  

• l is length  
• b is breadth  

____________

Finding the area of square :-

$\sf \implies 60\; cm \times 60\;cm$

$\sf \leadsto Area = 3600\;cm^{2}$  

____________

$\bf \{ A.T.Q \}$

$\bf \bigstar\;Area\;of\;rectangle=Area\;of\;square$

____________

Finding the length :-

$\sf \implies 3600\;cm^{2} = 40\;cm \times breadth$

$\sf \implies breadth = \dfrac{3600}{40}$

$\sf \leadsto breadth = 90\;cm$

____________

Finding the Perimeter :-

$\sf \implies 2( 40\;cm + 90\;cm )$

$\sf \implies 2 \times 130\;cm$

$\sf \leadsto Perimeter = 260\;cm$

_______________

Hence,  

• The length of the rectangle is 90 cm and it’s perimeter is 260 cm

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