Question

Think About the Process The length of a rectangle is twice the width. The area of the rectangle is 9

Answer 1

Answer:

The side length of each square is 2.12 units.

The length ad width of the rectangle are 2.12 and 4.24 units

Step-by-step explanation:

Let the width of the rectangle is x,

So, the length of the rectangle is 2x.

Area of the rectangle = 9 sq. units

$9 = 2x \times x$ [as area = length x width]

$\Rightarrow 9 = 2x^2$

$\Rightarrow x^2 = \frac{9}{2}=4.5$

$\Rightarrow x = 1.5\sqrt{2}=2.12$ units

So, width of the rectangle, x= 2.12 units and

the llengthof the rectangle, 2x= 2 x 2.12= 4.24 units.

After division of the rectangle into two equal square, so, the area of each square will be half of the area of the rectangle.

The area of the rectangle = 9/2=4.5 square units.

Let a be the length of the sides of the square, so

Area $= a^2$

$\Rightarrow a^2=4.5$

$\Rightarrow$ $a = 1.5\sqrt{2}=2.121$

Hence, the side length of each square = 2.12 units.