NCERT Exemplar Solutions
Class 7 - Mathematics - Unit 9: Perimeter and Area - Multiple Choice Questions
Question 16

Question.  16

16. In Fig. 9.21, if PR = 12 cm, QR = 6 cm and PL = 8 cm, then QM is

(a)

(a) 6 cm

(b)

(b) 9 cm

(c)

(c) 4 cm

(d)

(d) 2 cm

Detailed Answer with Explanation:

Using right triangle properties:

Area of ΔPLR = \( \tfrac{1}{2} PL \times QR = \tfrac{1}{2} \times 8 \times 6 = 24 \).

Also, area = \( \tfrac{1}{2} PR \times QM = \tfrac{1}{2} \times 12 \times QM \).

So, 24 = 6 × QM ⇒ QM = 4 cm.

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NCERT Exemplar Solutions Class 7 – Mathematics – Unit 9: Perimeter and Area – Multiple Choice Questions | Detailed Answers