Prime Factorisation in Area and Geometry Problems

Prime Factorisation in Area and Geometry Problems

Secondary 1

The dimensions of a rectangle are \(({{2}^{2}}\times {{5}^{2}}\times 7)\)cm by \(({{5}^{2}}\times {{7}^{3}})\)cm.

  1. Find the area of the rectangle. Express your answer in prime factorization form.
  2. Given that a square has the same area as the rectangle in part (a). Find the length of the square side.

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Answer:(a) \(2^2\times5^4\times7^4\text{ cm}^2\) (b) \(2450\text{ cm}\)

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