The shape below is formed from a rectangle measuring 12 cm by 15 cm from which a rectangle of length 7.4 cm has been removed - OCR - GCSE Maths - Question 13 - 2017 - Paper 1
Question 13
The shape below is formed from a rectangle measuring 12 cm by 15 cm from which a rectangle of length 7.4 cm has been removed.
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Worked Solution & Example Answer:The shape below is formed from a rectangle measuring 12 cm by 15 cm from which a rectangle of length 7.4 cm has been removed - OCR - GCSE Maths - Question 13 - 2017 - Paper 1
Step 1
Calculate the area of the original rectangle
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Answer
To find the area of the original rectangle, we use the formula:
Area=extlengthimesextwidth
Here, the length is 15 cm and the width is 12 cm, so:
Area=15extcmimes12extcm=180extcm2
Step 2
Calculate the area of the removed rectangle
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Answer
The rectangle removed has a width of 7.4 cm and a height that remains unspecified. Assuming the height equals the original width of 12 cm, we apply the area formula:
Areaextremoved=7.4extcmimes12extcm=88.8extcm2
Step 3
Calculate the area of the remaining shape
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Answer
The area of the remaining shape is found by subtracting the area of the removed rectangle from the area of the original rectangle:
