NCERT Exemplar Solutions
Class 7 - Mathematics - Unit 9: Perimeter and Area - Multiple Choice QuestionsQuestion 11
Class 7 - Mathematics - Unit 9: Perimeter and Area - Multiple Choice Questions
Question. 11
11. Ratio of areas of \( \triangle MNO, \triangle MOP \) and \( \triangle MPQ \) in Fig. 9.18 is
(a)
(a) 2 : 1 : 3
(b)
(b) 1 : 3 : 2
(c)
(c) 2 : 3 : 1
(d)
(d) 1 : 2 : 3
Detailed Answer with Explanation:
By drawing perpendicular from M and using given base divisions:
- Area(ΔMNO) = \( \tfrac{1}{2} \times 4 \times 5 = 10 \).
- Area(ΔMOP) = \( \tfrac{1}{2} \times 2 \times 5 = 5 \).
- Area(ΔMPQ) = \( \tfrac{1}{2} \times 6 \times 5 = 15 \).
So ratio = 10 : 5 : 15 = 2 : 1 : 3.