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When the Irish rugby team played in Croke Park, a rugby pitch was made inside the GAA pitch - Junior Cycle Mathematics - Question 2 - 2015

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When the Irish rugby team played in Croke Park, a rugby pitch was made inside the GAA pitch. The GAA pitch was 145 m long and 90 m wide. The rugby pitch was 120 m lo... show full transcript

Worked Solution & Example Answer:When the Irish rugby team played in Croke Park, a rugby pitch was made inside the GAA pitch - Junior Cycle Mathematics - Question 2 - 2015

Step 1

Find the area of each pitch.

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Answer

To find the area of each pitch, we will use the formula:

Area=length×width\text{Area} = \text{length} \times \text{width}

  1. Area of GAA pitch:

    • Length = 145 m

    • Width = 90 m

    Area of GAA pitch=145 m×90 m=13,050 m2\text{Area of GAA pitch} = 145 \text{ m} \times 90 \text{ m} = 13,050 \text{ m}^2

  2. Area of Rugby pitch:

    • Length = 120 m

    • Width = 70 m

    Area of Rugby pitch=120 m×70 m=8,400 m2\text{Area of Rugby pitch} = 120 \text{ m} \times 70 \text{ m} = 8,400 \text{ m}^2

Step 2

What area of the GAA pitch was not used for rugby?

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Answer

To find the area of the GAA pitch that was not used for rugby, we subtract the area of the rugby pitch from the area of the GAA pitch:

Area not used=Area of GAA pitchArea of Rugby pitch\text{Area not used} = \text{Area of GAA pitch} - \text{Area of Rugby pitch}

Area not used=13,050 m28,400 m2=4,650 m2\text{Area not used} = 13,050 \text{ m}^2 - 8,400 \text{ m}^2 = 4,650 \text{ m}^2

Thus, the area of the GAA pitch that was not used for rugby is 4,650 m².

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