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Question (11)

QN009828

A rectangle of area 100 cm² is squared. The perimeter of the new square is:

(A) 20 cm
(B) 30 cm
(C) 40 cm
(D) 50 cm

Correct Answer: C

Explanation:

Side = √100 = 10 cm, perimeter = 4 × 10 = 40 cm.

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Question (12)

QN009829

A rectangle measuring 18 cm × 8 cm has the same area as a square of side:

(A) 10 cm
(B) 11 cm
(C) 12 cm
(D) 14 cm

Correct Answer: C

Explanation:

Area = 18 × 8 = 144 cm², side = 12 cm.

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Question (13)

QN009830

The area of a rectangle 20 m × 5 m equals the area of a square of side:

(A) 8 m
(B) 9 m
(C) 10 m
(D) 12 m

Correct Answer: C

Explanation:

Area = 20 × 5 = 100 m², side = 10 m.

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Question (14)

QN009831

A rectangle and its equivalent square always have:

(A) Same perimeter
(B) Same area
(C) Same diagonal
(D) Same side lengths

Correct Answer: B

Explanation:

Equivalent figures have equal area.

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Question (15)

QN009832

A rectangle has area 196 cm². The side of the square formed is:

(A) 12 cm
(B) 13 cm
(C) 14 cm
(D) 15 cm

Correct Answer: C

Explanation:

Side = √196 = 14 cm.

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Question (16)

QN009833

The side of the square equivalent to a rectangle of dimensions 50 cm × 2 cm is:

(A) 8 cm
(B) 9 cm
(C) 10 cm
(D) 12 cm

Correct Answer: C

Explanation:

Area = 100 cm², side = 10 cm.

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Question (17)

QN009834

If a rectangle has area 225 m², the side of the square with same area is:

(A) 12 m
(B) 13 m
(C) 14 m
(D) 15 m

Correct Answer: D

Explanation:

Side = √225 = 15 m.

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Question (18)

QN009835

A rectangle measuring 36 cm × 4 cm is squared. The side of the square obtained is:

(A) 10 cm
(B) 11 cm
(C) 12 cm
(D) 14 cm

Correct Answer: C

Explanation:

Area = 144 cm², side = 12 cm.

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Question (19)

QN009836

The area of a square is equal to the product of:

(A) Length and breadth
(B) Side and breadth
(C) Side × Side
(D) Diagonal × Side

Correct Answer: C

Explanation:

Area of square = side × side.

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Question (20)

QN009837

A rectangle has dimensions 27 cm and 3 cm. The side of the equal-area square is:

(A) 7 cm
(B) 8 cm
(C) 9 cm
(D) 10 cm

Correct Answer: C

Explanation:

Area = 81 cm², side = 9 cm.

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Question (11)

A rectangle of area 100 cm² is squared. The perimeter of the new square is:

Explanation:

Link:

Question (12)

A rectangle measuring 18 cm × 8 cm has the same area as a square of side:

Explanation:

Link:

Question (13)

The area of a rectangle 20 m × 5 m equals the area of a square of side:

Explanation:

Link:

Question (14)

A rectangle and its equivalent square always have:

Explanation:

Link:

Question (15)

A rectangle has area 196 cm². The side of the square formed is:

Explanation:

Link:

Question (16)

The side of the square equivalent to a rectangle of dimensions 50 cm × 2 cm is:

Explanation:

Link:

Question (17)

If a rectangle has area 225 m², the side of the square with same area is:

Explanation:

Link:

Question (18)

A rectangle measuring 36 cm × 4 cm is squared. The side of the square obtained is:

Explanation:

Link:

Question (19)

The area of a square is equal to the product of:

Explanation:

Link:

Question (20)

A rectangle has dimensions 27 cm and 3 cm. The side of the equal-area square is:

Explanation:

Link:

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