Question

a square and a rectangle have equal areas if each side have the square is 8 cm and the width of the rectangle is 12 cm find the length of the rectangle​

Answer 1

Given:-

• Area of the square = Area of the rectangle.
• Side of the square = 8 cm.
• Width of the rectangle = 12 cm.

To Find:-

• Length of the rectangle.

Formula:-

• Area of the square = side × side sq. units .
• Area of the rectangle = length × width sq. units.

Solution:-

Area of the square = side × side sq. units

= 8 × 8 sq. units = 64 sq. units .

So, Area of the rectangle is also 64 sq. units .

$\therefore \: Area \: = length \: \times width \\ \\ \implies \: 64 = 12 \times length \\ \\ \implies \: length \: = \frac{64}{12} = \frac{16}{3} cm$

Answer :-

$\boxed{Length = \frac{16}{3} cm}$