The ratio of the area of a square to that of the square drawn on its diagonal is?
Correct answer: D. 1:2
- A. 2:5
- B. 3:4
- C. 3:5
- D. 1:2
Explanation
If the original square has side s, its area is s². Its diagonal is s√2, so the square drawn on that diagonal has area (s√2)² = 2s²; hence the ratio is s²:2s² = 1:2. Option a can result from incorrectly treating the diagonal as equal to the side.
Report an error
The more specific you are, the faster it gets fixed. A source beats an opinion.
Prefer email? [email protected]
About Area and Volume
Area measures the surface enclosed by two-dimensional figures, while volume measures the space occupied by three-dimensional solids. Problems use formulas for rectangles, triangles, circles, prisms, cylinders, cones, spheres, and composite figures, including unit conversion and the distinction between surface area, lateral area, and volume.
Practise Geometry
222 free Geometry MCQs from Mathematics, each with the correct answer and an explanation. Unlimited attempts, no account needed.
Discussion
Stuck on an option, or know a faster way to get there? Ask or explain it here.
No comments yet. Be the first to explain this one.
Exams that ask Mathematics questions like this
Mathematics is on 76 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.
More Area and Volume questions
If the perimeter of a rectangular garden is 600 m, its length when its breadth is 100 m is________?
A rectangular field has area equal to 150 sq m and perimeter 50 m. Its length and breadth must be________?
One side of a rectangular field is 4 m and its length along diagonal is 5 m. What is the area of the field?
What is the perimeter of a square field whose diagonal is 8√2?
What is the area of a square field whose diagonal of length 20 m?
What is the area of square field whose side of length 15 m?