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Work out the length and breadth of each rectangle and 2. Change the sizes of the rectangles in the following ways: a. reduce to 50% of the original size b. reduce to 1/3 of the original size c. enlarge to 200% of the original size d. enlarge to 150% of the original size.

Mathematics

ScanSolve AI Answer

Okay, Kaido, let's tackle this resizing problem.

To answer question 1, I need to see page 97, which contains the rectangles you need to count. Please send a photo of that page if you'd like me to help with question 1.

For question 2, I will explain how to calculate the new dimensions. You will need to substitute the original length and breadth from question 1 into these formulas. Let's assume the original length is LL and the original breadth is BB.

  1. Change the sizes of the rectangles in the following ways:

    • a) reduce to 50% of the original size To reduce to 50%, multiply the original dimensions by 0.5 (or 12\frac{1}{2}).

      New Length=L×0.5\text{New Length} = L \times 0.5 New Breadth=B×0.5\text{New Breadth} = B \times 0.5
    • b) reduce to 13\frac{1}{3} of the original size To reduce to 13\frac{1}{3}, multiply the original dimensions by 13\frac{1}{3}.

      New Length=L×13\text{New Length} = L \times \frac{1}{3} New Breadth=B×13\text{New Breadth} = B \times \frac{1}{3}
    • c) enlarge to 200% of the original size To enlarge to 200%, multiply the original dimensions by 2.

      New Length=L×2\text{New Length} = L \times 2 New Breadth=B×2\text{New Breadth} = B \times 2
    • d) enlarge to 150% of the original size To enlarge to 150%, multiply the original dimensions by 1.5 (or 32\frac{3}{2}).

      New Length=L×1.5\text{New Length} = L \times 1.5 New Breadth=B×1.5\text{New Breadth} = B \times 1.5
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