Area Class 8 Assertion and Reasoning Questions
easyArea Class 8 Assertion and Reasoning Questions
Area Class 8 Assertion and Reasoning Questions
In each of the following questions, two statements have been given. One has been labelled as Assertion (A) and the other has been labelled as Reason (R). You have to choose the correct option, from the given four options.
(a) Both the statements (A) and (R) are correct and (R) is the correct explanation of (A).
(b) Both the statements (A) and (R) are correct but (R) is not the correct explanation of (A).
(c) (A) is correct but (R) is not correct.
(d) (R) is correct but (A) is not correct.
1. (A) : A number of tiles of the shape of a parallelogram of base 24 cm and corresponding height 10 cm required to cover of a floor area 1080 m² is 45000 (splitting of tiles is allowed).
(R) : Area of the parallelogram is base × corresponding height and number of tiles
= [latex]\frac{\text { Floor area }}{\text { Area of a tile }}[/latex]
Answer:
(a) Both the statements (A) and (R) are correct and (R) is the correct explanation of (A).
2. (A) : Area of the rhombus with diagonals 15 cm and 12 is 180 cm².
(R) : Area of the rhombus with diagonals
d1 and d2 is [latex]\frac{1}{2}[/latex] d1 × d2.
Answer:
(d) (R) is correct but (A) is not correct.
3. (A) : If length of one of the parallel sides of a trapezium of area 136 cm² and height 8 cm is 20 cm, then the length of the second parallel side is 14 cm.
(R) : Area of a trapezium = [latex]\frac{1}{2}[/latex] sum of the parallel sides × height.
Answer:
(a) Both the statements (A) and (R) are correct and (R) is the correct explanation of (A).
4. (A) : Area of the field ABCD of the given figure with BD = 72 m, AE = 39 m and CF = 24 m is 2268 m².
(R) : Area of quadrilateral ABCD is BD × (AE + CF).
Answer:
(c) (A) is correct but (R) is not correct.
5. (A) : In the figure, areas of parallelogram ABEF and rectangle ABCD are equal.
(R) : Triangles ADF and BCE are congruent by RHS and have equal areas.
Answer:
(a) Both the statements (A) and (R) are correct and (R) is the correct explanation of (A).