Respuesta :
The side length of each square is 6.93 units
The length of the rectangle is 13.86 units and the width of the rectangle is 6.93 units
Area of rectangle
From the question, we are to determine the length and width of the rectangle
To estimate the side length of each square,
We know that the rectangle can be divided into two squares with equal area
∴ Area of one the square = 96/2 = 48 square units
and
The side length of the square will be the width of the rectangle
Thus,
w² = 48
w = √48
w = 6.93 units
Hence, the side length of each square is 6.93 units
For the length and width of the rectangle,
From the given information,
The length of a rectangle is twice the width
That is,
l = 2w ------ (1)
Also,
The area of the rectangle is 96 square units
That is,
lw = 96 ------ (2)
Substitute equation (1) into equation (2)
lw = 96
2w(w) = 96
2w² = 96
w² = 48
w = √48
w = 6.93 units
∴ The width is of the rectangle 6.93 units
Substitute the value of w into equation (1)
l = 2w
l = 2(6.93)
l = 13.86 units
Hence, the length of the rectangle is 13.86 units and the width of the rectangle is 6.93 units
Learn more on Area of rectangle here: https://brainly.com/question/17297081
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