Question

A square and rectangle have equal areas. if each side of square is 18cm and width of the rectangle is 12cm. find length of rectangle. there are two answers one is 27cm and other is 5120cm

Answer 1

Let the length of the rectangle is 'x' cm.

(i)

We know that Area of square = s^2

Given that Side of square  = 18cm.

So, Area of square = 18^2 = 324.   ----- (1)

(ii)

We know that Area of rectangle = length * breadth.

Given that Width of rectangle = 12cm.

Area of rectangle = x * 12.     ----- (2)

Given that A square and rectangle have equal areas.

= > 324 = x * 12

= > 324/12 = x

= > x = 27.

Therefore, length of rectangle = 27cm.

Hope it helps!

Answer 2

Given :

Areas of square and Rectangle are same -

Area of square = side x side

Given side = 18 cm

Area of square = 18 x 18 = 324 sq cm

_____________________________


Given , Rectangle breadth = 12 cm

Area of rectangle = 324 sq cm

Area of rectangle = length x breadth

324 = length x 12

length = 324 ÷ 12

length = 27 cm.