Question

A rectangle having a length and width of 16 cm and 4 cm, respectively, has the same area as that of a square. Calculate the length of each side of the square.


dcm 16cm e

• A. 12 cm
• B. 16 cm
• C. 4 cm
• D. 8 cm

Answer 1

The correct option is D 8 cm

Area of a rectangle = length × width
Length of rectangle = 16 cm
Width of rectangle = 4 cm

So, area of rectangle = length × width
= 16 cm × 4 cm
= 64 sq cm.

Now, area of a square = side × side
Side length of the square will be
$=\sqrt{64}\text{cm}$
= 8 cm

So, side length of each square is 8 cm.