Parallelogram problems

A question is this type if and only if it involves a parallelogram where you must find angles or diagonal lengths using properties of parallelograms and sine/cosine rules.

3 questions · Standard +0.3

1.05c Area of triangle: using 1/2 ab sin(C)
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Edexcel P1 2019 October Q4
5 marks Standard +0.3
4. A parallelogram \(A B C D\) has area \(40 \mathrm {~cm} ^ { 2 }\) Given that \(A B\) has length \(10 \mathrm {~cm} , B C\) has length 6 cm and angle \(D A B\) is obtuse, find
  1. the size of angle \(D A B\), in degrees, to 2 decimal places,
  2. the length of diagonal \(B D\), in cm , to one decimal place.
Edexcel AS Paper 1 2021 November Q7
5 marks Standard +0.3
  1. A parallelogram \(P Q R S\) has area \(50 \mathrm {~cm} ^ { 2 }\)
Given
  • \(P Q\) has length 14 cm
  • \(Q R\) has length 7 cm
  • angle \(S P Q\) is obtuse
    find
    1. the size of angle \(S P Q\), in degrees, to 2 decimal places,
    2. the length of the diagonal \(S Q\), in cm , to one decimal place.
AQA AS Paper 1 Specimen Q6
4 marks Standard +0.3
A parallelogram has sides of length 6 cm and 4.5 cm. The larger interior angles of the parallelogram have size \(\alpha\) Given that the area of the parallelogram is 24 cm², find the exact value of \(\tan \alpha\) [4 marks]