Question : What is the area of a triangular flower bed of a garden whose perimeter is 20 m and two sides are 5 m and 6 m?
Option 1: $10 \sqrt{2}$ m2
Option 2: $2 \sqrt{10}$ m2
Option 3: $5 \sqrt{2}$ m2
Option 4: $4 \sqrt{5}$ m2
Recommended: How to crack SSC CHSL | SSC CHSL exam guide
Don't Miss: Month-wise Current Affairs | Upcoming government exams
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: $10 \sqrt{2}$ m2
Solution : Perimeter = 20 m Two sides are 5 m and 6 m. Third side = 20 – 5 – 6 = 9 m Semi perimeter, $ s = \frac{a+b+c}{2} = \frac{20}{2} = 10$ Area of triangle $= \sqrt{s(s-a)(s-b)(s-c)}$ $= \sqrt{10(10-5)(10-6)(10-9)}$ $= \sqrt{10×5×4}$ $=\sqrt{200}$ $=10 \sqrt{2}$ m2 Hence, the correct answer is $10 \sqrt{2}$ m2.
Candidates can download this e-book to give a boost to thier preparation.
Application | Eligibility | Admit Card | Answer Key | Preparation Tips | Result | Cutoff
Question : Find the area of a circle whose radius is equal to the side of a square whose perimeter is 196 m.
Option 1: 7457 m2
Option 2: 7546 m2
Option 3: 6477 m2
Option 4: 8844 m2
Question : The lengths of two parallel sides of a trapezium are 15 cm and 20 cm. If its area is 175 cm2, then its height is:
Option 1: 15 cm
Option 2: 10 cm
Option 3: 20 cm
Option 4: 25 cm
Question : A rectangular carpet has an area of 120 m2 and a perimeter of 46 m. The length of its diagonal is:
Option 1: 23 m
Option 2: 13 m
Option 3: 17 m
Option 4: 21 m
Question : The sides of a triangle are 16 cm, 12 cm, and 20 cm. Find the area.
Option 1: 64 cm2
Option 2: 112 cm2
Option 3: 96 cm2
Option 4: 81 cm2
Question : The volume of air in a room is 204 m3. The height of the room is 6 m. What is the floor area of the room?
Option 1: 32 m2
Option 2: 46 m2
Option 3: 44 m2
Option 4: 34 m2
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile