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Question (11)

QN0019622

If two squares have areas 49 sq. units and 144 sq. units, the combined square has area:

(A) 95 sq. units
(B) 193 sq. units
(C) 245 sq. units
(D) 7056 sq. units

Correct Answer: B

Explanation:

49 + 144 = 193 sq. units.

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Question (12)

QN0019623

The sides of the right triangle used in combining two squares are:

(A) Parallel sides
(B) Equal sides
(C) Perpendicular sides
(D) Curved sides

Correct Answer: C

Explanation:

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Question (13)

QN0019624

Two squares of sides 8 units and 15 units combine to form a square of side:

(A) 17 units
(B) 19 units
(C) 21 units
(D) 23 units

Correct Answer: A

Explanation:

c² = 8² + 15² = 289, so c = 17.

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Question (14)

QN0019625

If the sides of two squares are 6 units and 8 units, the area of the combined square is:

(A) 14 sq. units
(B) 48 sq. units
(C) 100 sq. units
(D) 196 sq. units

Correct Answer: C

Explanation:

6² + 8² = 36 + 64 = 100 sq. units.

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Question (15)

QN0019626

The four-sided figure obtained in Baudhāyana’s construction is a square because:

(A) Its sides are curved
(B) All sides are equal and all angles are right angles
(C) It has only equal sides
(D) It has only right angles

Correct Answer: B

Explanation:

A square has equal sides and right angles.

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Question (16)

QN0019627

Two squares have areas 25 sq. units and 144 sq. units. The side of the combined square is:

(A) 11 units
(B) 12 units
(C) 13 units
(D) 14 units

Correct Answer: C

Explanation:

Total area = 169 sq. units, so side = 13 units.

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Question (17)

QN0019628

If the side lengths of two squares are 7 units and 24 units, the combined square has side:

(A) 25 units
(B) 31 units
(C) 49 units
(D) 576 units

Correct Answer: A

Explanation:

c² = 7² + 24² = 625, so c = 25.

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Question (18)

QN0019629

In the paper activity for combining two squares, how many pieces are rearranged to form the larger square?

(A) 2
(B) 3
(C) 4
(D) 5

Correct Answer: B

Explanation:

Three pieces are rearranged to form the larger square.

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Question (19)

QN0019630

If the combined square has area 169 sq. units and one square has area 25 sq. units, the other square has area:

(A) 121 sq. units
(B) 144 sq. units
(C) 169 sq. units
(D) 194 sq. units

Correct Answer: B

Explanation:

169 − 25 = 144 sq. units.

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Question (20)

QN0019631

The side of the square formed on the hypotenuse is represented by:

(A) a
(B) b
(C) c
(D) x

Correct Answer: C

Explanation:

In the construction, c denotes the hypotenuse and the side of the new square.

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Question (11)

If two squares have areas 49 sq. units and 144 sq. units, the combined square has area:

Explanation:

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Question (12)

The sides of the right triangle used in combining two squares are:

Explanation:

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Question (13)

Two squares of sides 8 units and 15 units combine to form a square of side:

Explanation:

Link:

Question (14)

If the sides of two squares are 6 units and 8 units, the area of the combined square is:

Explanation:

Link:

Question (15)

The four-sided figure obtained in Baudhāyana’s construction is a square because:

Explanation:

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Question (16)

Two squares have areas 25 sq. units and 144 sq. units. The side of the combined square is:

Explanation:

Link:

Question (17)

If the side lengths of two squares are 7 units and 24 units, the combined square has side:

Explanation:

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Question (18)

In the paper activity for combining two squares, how many pieces are rearranged to form the larger square?

Explanation:

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Question (19)

If the combined square has area 169 sq. units and one square has area 25 sq. units, the other square has area:

Explanation:

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Question (20)

The side of the square formed on the hypotenuse is represented by:

Explanation:

Link:

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