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Damien is putting a mirror on a wall - Junior Cycle Mathematics - Question 4 - 2019

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Damien is putting a mirror on a wall. The wall is 330 cm wide and the mirror is 100 cm wide. Damien wants to put the mirror in the middle of the wall, as shown. Wor... show full transcript

Worked Solution & Example Answer:Damien is putting a mirror on a wall - Junior Cycle Mathematics - Question 4 - 2019

Step 1

Work out the total distance excluding the mirror

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Answer

To find the distance from the mirror to each end of the wall, we first need to calculate the space available on the wall after placing the mirror. The total width of the wall is 330 cm, and the width of the mirror is 100 cm. Thus, the space remaining on the wall is:

330extcm100extcm=230extcm330 ext{ cm} - 100 ext{ cm} = 230 ext{ cm}

Step 2

Calculate the distance L

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Answer

Since the mirror is placed in the middle of the wall, the available space (230 cm) is divided equally between the two ends. Therefore, the distance L can be calculated as:

L=230extcm2=115extcmL = \frac{230 ext{ cm}}{2} = 115 ext{ cm}

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