The length of a rectangle is twice the width. The area of the rectangle is 80 square units. Notice that you can divide the rectangle into two squares with equal area. How can you estimate the side length of each​ square? Estimate the length and width of the rectangle.

Answers

Answer 1
Answer:

Answer:

Width of the rectangle = 6.325 units

Length of the rectangle = 12.65 units

Side length of the square the 6.325 units.

Step-by-step explanation:

The length of a rectangle is twice the width. The area of the rectangle is 80 square units.

The area of the rectangle = Length × Width

Length = 2W

80 square units = 2W × W

80 = 2W²

W² = 80/2

W² = 40

W = √40

Width of the rectangle = 6.3245553203 units

Approximately = 6.325 units

Length = 2 × Width

= 2 × 6.325

= 12.65 units

• Notice that you can divide the rectangle into two squares with equal area. How can you estimate the side length of each​ square?

We you divide a rectangle into 2 squares,

The length is divided into two.

Hence, the length of the rectangle = 12.65 units

12.65 units ÷ 2 = 6.325 units.

Hence, the side length of the square the 6.325 units.

Answer 2
Answer:

Final answer:

To estimate the side length of each square, find the square root of the area of the rectangle. The square root of 80 is approximately 8.94. The length is twice the width, so the width of the rectangle is approximately 6.32 units and the length is approximately 12.64 units.

Explanation:

To estimate the side length of each square, we can find the square root of the area of the rectangle. The square root of 80 is approximately 8.94. Since the rectangle can be divided into two squares with equal area, each side of the square would be approximately 8.94 units long.

Now, let's find the length and width of the rectangle. It is given that the length is twice the width. Let's represent the width as 'x'. In that case, the length would be '2x'. We know that the area of the rectangle is 80, so we can set up the equation:

width x length = area ------> x  x2x = 80 ------> 2x² = 80

Dividing both sides of the equation by 2, we get: x² = 40. Taking the square root of both sides, we find that x is approximately 6.32. Therefore, the width of the rectangle is approximately 6.32 units and the length is approximately twice that, or 12.64 units.

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Answers

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Answers

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I hope that's help:0

Please ask me any questions you want.