# Class 9 RD Sharma Solutions – Chapter 15 Areas of Parallelograms and Triangles- Exercise 15.1

**Question 1. Which of the following figures lie on the same base and between the same parallels. In such a case, write the common base and two parallels:**

**Solution:**

**(i) **

ΔPAB and trapezium ABCD are on the same base AB and between the same parallels AB and DC.

Same base = AB

Parallels = AB || DC

**(ii)**

Parallelogram ABCD and APQD are on the same base AD and between the same parallels AD and BQ.

Same base = AD

Parallels = AD || BQ

**(iii)**

Parallelogram ABCD and ΔPQR are between the same parallels AD and BC but they are not on the same base.

**(iv)**

ΔQRT and parallelogram PQRS are on the same base QR and between the same parallels QR and PS.

Same base = QR

Parallels = QR || PS

**(v)**

Parallelograms PQRS and trapezium SMNR are on the same base but not between same parallels.

**(vi)**

Parallelograms PQRS, AQRD, BCQR are between the same parallels. Also, parallelograms PQRS, BPSC, APSD are between the same parallels.

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