Here are two rectangles - Edexcel - GCSE Maths - Question 8 - 2019 - Paper 1
Question 8
Here are two rectangles.
$QR = 10cm$
$BC = PQ$
The perimeter of $ABCD$ is $26cm$
The area of $PQRS$ is $45cm^2$
Find the length of $AB$.
Worked Solution & Example Answer:Here are two rectangles - Edexcel - GCSE Maths - Question 8 - 2019 - Paper 1
Step 1
Set up your equation for area
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Answer
Given the area of rectangle PQRS is 45cm2, and knowing that area = width × height, we set the equation as:
PQimesQR=45
Substituting QR=10cm, we get:
PQimes10=45
Therefore, we find that:
PQ = rac{45}{10} = 4.5cm
Step 2
Use the perimeter of $ABCD$
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Answer
The perimeter of rectangle ABCD is given as 26cm. The formula for perimeter is:
P=2(AB+BC)
Substituting the known perimeter and BC=PQ=4.5cm, we have:
2(AB+4.5)=26
Dividing both sides by 2:
AB+4.5=13
Subtracting 4.5 from both sides:
AB=13−4.5=8.5cm
Step 3
Final Answer
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