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Quadrilateral with a right angle split by a diagonal into two triangles: area

This type of question, asked 2 times: CDS 2 2019, CDS 1 2020. All 2 questions below, oldest first.

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  1. Question 1 (case study, 3 parts)

    CDS 2 2019

    Consider the following for the next three (03) items : ABCD is a quadrilateral with AB = 9 cm, BC = 40 cm, CD = 28 cm, DA = 15 cm and angle ABC is a right-angle.
    94
    What is the area of triangle ADC ?

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    95
    What is the area of quadrilateral ABCD ?

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    96
    What is the difference between perimeter of triangle ABC and perimeter of triangle ADC ?

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  2. Question 2

    CDS 1 2020

    89
    ABCDABCD is a quadrilateral such that AD=DC=CA=20AD = DC = CA = 20 units, BC=12BC = 12 units and ∠ABC=90∘\angle ABC = 90^\circ. What is the approximate area of the quadrilateral ABCDABCD ?

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