Q30 of 97 Page 780

The area of a parallelogram is 392 m2. If its altitude is twice the corresponding base, determine the base and the altitude.

Given:


Area = 392 m2


Base = b (let)


Height = 2b



Now,


Area of parallelogram = Base × Height


⇒ 392 = b × 2b


⇒ 392 = 2b2


⇒ b2 = 196


⇒ b = 14 cm


Hence,


Base = 14 cm


Altitude = 2 × 14 = 28 cm


More from this chapter

All 97 →
28

Find the area of a parallelogram with base equal to 25 cm and the corresponding height measuring 16.8 cm.

 29

The adjacent sides of a parallelogram are 32 cm and 24 cm. If the distance between the longer sides is 17.4 cm, find the distance between the shorter sides.

 31

The adjacent sides of a parallelogram ABCD measure 34 cm and 20 cm, and the diagonal AC measures 42 cm. Find the area of the parallelogram.

 32

Find the area of the rhombus, the lengths of whose diagonals are 30 cm and 16 cm. Also, find the perimeter of the rhombus.