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The figure below is made up of 2 squares, P and Q, and a rectangle R.Find the area of rectangle R.

Question

The figure below is made up of 2 squares, P and Q, and a rectangle R. Find the area of rectangle R.

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Solution

To find the area of rectangle R, we need some specific dimensions or relationships involving the squares P and Q and the rectangle R. However, since the figure is not provided, I'll go through the general steps you would follow to calculate the area of the rectangle.

Step 1: Break Down the Problem

  1. Identify the dimensions of squares P and Q. Typically, the area of a square is calculated by squaring the length of one side.

    • If square P has a side length of a a , then its area AP=a2 A_P = a^2 .
    • If square Q has a side length of b b , then its area AQ=b2 A_Q = b^2 .
  2. Determine how these squares relate to rectangle R. Commonly, rectangle R may have dimensions directly related to P and Q.

Step 2: Relevant Concepts

  1. Area of rectangle: The area AR A_R of rectangle R is calculated as: AR=Width×Height A_R = \text{Width} \times \text{Height}

Step 3: Analysis and Detail

  1. If, for example, rectangle R has a width equal to the side of square P and a height equal to the side of square Q, then: AR=a×b A_R = a \times b
  2. Substitute the known values of a a and b b if they are given.

Step 4: Verify and Summarize

  1. Ensure that the dimensions you have used for the width and height of rectangle R are correct and clearly derived from squares P and Q.
  2. Summarize by stating the area calculated.

Final Answer

If you have specific values for the side lengths of squares P and Q, you would substitute these values into the area formula for rectangle R. The area will be expressed in square units based on the measurement units used for sides a a and b b . Please provide specific dimensions for calculation.

This problem has been solved

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