Question

7. A square with side 60 cm and a rectangle with breadth 40 cm are equal in area. Find the length of the rectangle.
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Answer 1

Step-by-step explanation:

side of square=60cm

breadth of rectangle=40cm

area of square=side*side

=60*60

=360cm

square and rectangle area is equal(given)

area of rectangle=360cm

360=l*b

360=l*40

l=360/40

l=9cm

Therefore,the length of the rectangle is 9cm.

Answer 2

Given :

Square with side $60$ $cm$ and rectangle with breadth $40$ $cm$ are equal in area.

To find :

The length of the rectangle.

Step-by-step explanation:

• Let the side of the square be $a$.
• Length and breadth of the rectangle be $l$ and $b$ respectively.
• The area of the square goes by

        $Area=a^{2}$

• It is given that the side is $60$ $cm$

• Then the area of square will be

        $Area=(60)^{2}$

• Square the value

        $Area=3600$

• It is known that the area of rectangle is

        $Area=lb$

• It is given that area of square and the area of the rectangle is same.
• Therefore, area of the rectangle will be

        $3600=lb$

• It is given that the breadth of the rectangle is $40$ $cm.$
• Substitute the value in the given equation

        $3600=l(40)$

• Take the number to the other side
• Then the length of the rectangle will be

         $l=90$

         

Final answer :

The length of the rectangle is $90$ $cm$.