The dimensions, in centimetres, of this rectangle are shown as algebraic expressions - OCR - GCSE Maths - Question 9 - 2018 - Paper 1
Question 9
The dimensions, in centimetres, of this rectangle are shown as algebraic expressions.
5x−y−8
Not to scale
3x+y−4
3x+5y+4
2x−6y−3
Work out the len... show full transcript
Worked Solution & Example Answer:The dimensions, in centimetres, of this rectangle are shown as algebraic expressions - OCR - GCSE Maths - Question 9 - 2018 - Paper 1
Step 1
width = 3x + y - 4
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Answer
To find the width of the rectangle, we can rearrange the equation given: 3x + y - 4.
Upon checking, to express this correctly:
Set the equation 3x + y - 4 = height (or the opposite side which would also give us the same result).
Step 2
length = 5x - y - 8
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Answer
Now, we need to find the length using the expression 5x - y - 8.
Set the equation equal to the opposite value (the other side) to solve for y:
Move y terms:
-y = 5x - 8 - Length
Therefore, we can calculate the final length by substituting values or rearranging appropriately.