A shape is drawn on a one-centimetre grid - OCR - GCSE Maths - Question 5 - 2019 - Paper 1

Question 5

A shape is drawn on a one-centimetre grid.
(a) Find the perimeter of the shape.
(b) How many lines of symmetry does the shape have?
Worked Solution & Example Answer:A shape is drawn on a one-centimetre grid - OCR - GCSE Maths - Question 5 - 2019 - Paper 1
Find the perimeter of the shape.

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To find the perimeter of the shape, we need to sum the length of all the outer edges.
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The shape consists of four rectangles. Count the lengths of each side:
- The top side of the main rectangle is 2 cm wide.
- The two vertical sides on either end total 4 cm (2 cm on each side).
- The bottom side is 4 cm wide (2 cm on each end and 2 cm in the middle).
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Now, adding these lengths together:
- Top side: 2 cm
- Right vertical side: 2 cm
- Bottom side: 4 cm
- Left vertical side: 2 cm
Thus, the total perimeter is:
P=2+2+4+2=10
So, the perimeter of the shape is 10 cm.
How many lines of symmetry does the shape have?

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The shape has 2 lines of symmetry:
- One vertical line of symmetry that divides the shape into two equal halves.
- One horizontal line of symmetry that also divides the shape into two equal halves.
Thus, the shape has a total of 2 lines of symmetry.
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