alleryStart learning →Find the area of a square whose side is $7$ cm.
- $28$ cm²
- $42$ cm²
- $49$ cm²
- $56$ cm²
Show answer and solution
Correct answer: C. $49$ cm²
Area of a square $= \text{side}^2 = 7^2 = 49$ cm².
XAT Geometry & Mensuration — practice questions
Explore 69 free Geometry & Mensuration questions in XAT Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.
Practise Geometry & Mensuration with Quill →Geometry & Mensuration questions and exercises with answers
Showing questions 1–30 of 69.
Find the area of a square whose side is $7$ cm.Read the answer and worked solution →A rectangle has area $48$ cm² and breadth $6$ cm. Find its length.Read the answer and worked solution →Find the area of an equilateral triangle whose side is $6$ cm.Read the answer and worked solution →A circle has area $154$ cm². Find its circumference (take $\pi = \dfrac{22}{7}$).Read the answer and worked solution →In a right-angled triangle the hypotenuse is $13$ cm and one of the legs is $5$ cm. Find the area of the triangle.Read the answer and worked solution →A right triangle has legs 6 and 8. The length of the hypotenuse is:Read the answer and worked solution →A cube's side doubles. By what factor does its VOLUME grow?Read the answer and worked solution →The area of a circle of radius 7 cm (using π = 22/7) is:Read the answer and worked solution →A cylindrical water tank has radius 7 m and height 5 m. Its volume (using π = 22/7) is:Read the answer and worked solution →A cone has radius 3 and height 4. Its slant height is:Read the answer and worked solution →The sum of the interior angles of a hexagon is:Read the answer and worked solution →Three rope pieces have lengths 4, 6 and 11 metres. Can they form a triangle?Read the answer and worked solution →In a 30-60-90 right triangle, the side opposite the 30° angle has length 5. The side opposite the 60° angle has length:Read the answer and worked solution →A triangle has sides 5, 12 and 13. The radius of its inscribed circle (inradius) is:Read the answer and worked solution →Surface area or volume?Read the answer and worked solution →Match each solid to its surface areaRead the answer and worked solution →Match each solid to its volumeRead the answer and worked solution →Reading the formulae backRead the answer and worked solution →Square units or cubic units?Read the answer and worked solution →Complete the unit conversionsRead the answer and worked solution →Volume and capacity unitsRead the answer and worked solution →True or false: area and volumeRead the answer and worked solution →Order the steps: find the surface area of a cuboidRead the answer and worked solution →Order the steps: find how much a cylindrical tank holdsRead the answer and worked solution →Assertion and reasonRead the answer and worked solution →Two are true, one is notRead the answer and worked solution →Three of these are wrong. Find the one that holds.Read the answer and worked solution →Tap every situation that needs SURFACE AREARead the answer and worked solution →Flip and pair: solid with volume formulaRead the answer and worked solution →Complete the definitionsRead the answer and worked solution →
Worked practice questions
A rectangle has area $48$ cm² and breadth $6$ cm. Find its length.
- $6$ cm
- $8$ cm
- $10$ cm
- $12$ cm
Show answer and solution
Correct answer: B. $8$ cm
Length $= \dfrac{\text{Area}}{\text{Breadth}} = \dfrac{48}{6} = 8$ cm.
Find the area of an equilateral triangle whose side is $6$ cm.
- $6\sqrt{3}$ cm²
- $9\sqrt{3}$ cm²
- $12\sqrt{3}$ cm²
- $18$ cm²
Show answer and solution
Correct answer: B. $9\sqrt{3}$ cm²
Area of equilateral triangle $= \dfrac{\sqrt{3}}{4} \times \text{side}^2 = \dfrac{\sqrt{3}}{4} \times 36 = 9\sqrt{3}$ cm².
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