A. 8cm
B. 8√2cm
C. 16cm
D. 4√2cm
Explanation:
Area of given square = ½ x (diagonal) 2 = 16cm2
Area of new square =(2 x 16)cm2 = 32cm2
Let the diagonal of 2nd squared be D cm
Then ½ x D2 = 32
=> D2 =64
=> D = 8 cm
Related Mcqs:
- If each side of a square is increased by 50% the ratio of the area of the resulting square to the area of the given square is__________?
A. 5:4
B. 9:4
C. 4:5
D. 4:9 - The area of a rectangle is thrice that of a square. The length of the rectangle is 40 cm and the breadth of the rectangle is (3/2) times of the square. The side of the square in cm is__________?
A. 15
B. 20
C. 30
D. 60 - The area of a square is 4096 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square.
A. 18 : 5
B. 7 : 16
C. 5 : 14
D. None of these - The ratio of the area of a square to that of the square drawn on its diagonal is_________?
A. 2:5
B. 3:4
C. 3:5
D. 1:2 - The ratio of the area of a square to that of the square drawn on its diagonal is?
A. 2:5
B. 3:4
C. 3:5
D. 1:2 - The perimeter of one square is 48 cm and that of another is 20 cm. Find the perimeter and the diagonal of a square which is equal in area to these two combined?
A. 15√2 cm
B. 13√2 cm
C. 16√2 cm
D. 17√2 cm - If the length of diagonal AC of a square ABCD is 5.2 cm then area of the square ABCD is_________?
A. 15.12 sq.cm
B. 13.52 sq.cm
C. 12.62 sq.cm
D. 10 sq.cm - If the diagonal of a square is doubled. How does the area of the square change?
A. Becomes fourfold
B. Becomes threefold
C. Becomes twofold
D. none of the above - What is the area of a square field whose diagonal of length 20 m?
A. 300 sq m
B. 250 sq m
C. 200 sq m
D. 400 sq m - What is the perimeter of a square field whose diagonal is 8√2?
A. 64 m
B. 32 m
C. 30 m
D. 16 m
