LIVE Course for free

Rated by 1 million+ students
Get app now
0 votes
in Perimeter and Area of Plane Figures by (51.0k points)
closed by

If the diagonals of a rhombus are 24 cm and 10 cm, then the area and perimeter of the rhombus are respectively 

(a) 120 sq cm, 52 cm 

(b) 240 sq cm, 52 cm 

(c) 120 sq cm, 64 cm 

(d) 240 sq cm, 64 cm

1 Answer

+1 vote
by (48.5k points)
selected by
Best answer

(a) 120 sq cm, 52 cm

Each side of the rhombus = \(\sqrt{(\frac{24}{2})^2+(\frac{10}{2})^2}\)

\(\sqrt{12^2+5^2}\) = \(\sqrt{144+25}\) = \(\sqrt{169}\) = 13 cm

∴ Area of the rhombus = \(\frac12\) x 24 cm x 10cm = 120 cm2

Perimeter = 4 × 13 cm = 52 cm.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.