Question 67

The diagonal of a square is 10√2 cm, find its perimeter?

Solution

Let the side of square = $$s$$ cm and diagonal, $$d = 10\sqrt{2}$$ cm

=> $$(s)^2 + (s)^2 = (d)^2$$

=> $$2s^2 = (10\sqrt{2})^2 = 200$$

=> $$s^2 = \frac{200}{2} = 100$$

=> $$s = \sqrt{100} = 10$$ cm

$$\therefore$$ Perimeter of square = $$4 \times 10 = 40$$ cm

=> Ans - (D)

Create a FREE account and get:

Free SSC Study Material - 18000 Questions
230+ SSC previous papers with solutions PDF
100+ SSC Online Tests for Free

CAT Quant Questions | CAT Quantitative Ability

CAT Venn Diagrams Questions CAT Functions, Graphs and Statistics Questions CAT Coordinate Geometry Questions CAT Profit And Loss Questions CAT Quadratic Equations Questions

CAT DILR Questions | LRDI Questions For CAT

CAT Puzzles Questions CAT Arrangement Questions CAT Venn Diagrams Questions CAT Data Interpretation Basics Questions CAT Miscellaneous LR Questions

CAT Verbal Ability Questions | VARC Questions For CAT

CAT Verbal Ability Questions CAT Reading Comprehension Questions CAT Critical Reasoning Questions CAT Grammar and Sentence Correction Questions CAT Miscellaneous Questions

Follow us on

Boost your Prep!

Download App