Mensuration [IMO Level 1- Mathematics Olympiad (SOF) Class 6]: Questions 7 - 9 of 82

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Question number: 7

» Mensuration

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Question

A square and a rectangular plot of an area have same perimeter. If the square is of side 60 cm and rectangle is of length 80 cm. Then area of rectangle is

Choices

Choice (4)Response

a.

3200

b.

800

c.

1600

d.

2800

Question number: 8

» Mensuration

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Question

The length of a rectangle is of its breadth. If its area is 231.2 , its perimeter will be

Choices

Choice (4)Response

a.

59.6 m

b.

68.6 m

c.

61.2 m

d.

34.5 m

Question number: 9

» Mensuration

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Question

All the figures below consist of the same four squares of equal size. Which figure has the smallest perimeter?

Choices

Choice (4)Response

a.

Quadrilateral poly1Quadrilateral poly1: Polygon A, B, C, DQuadrilateral poly1_1Quadrilateral poly1_1: Polygon A_1, B_1, C_1, D_1Quadrilateral poly1_2Quadrilateral poly1_2: Polygon A_2, B_2, C_2, D_2Quadrilateral poly1_3Quadrilateral poly1_3: Polygon A_4, B_3, C_3, D_3Segment aSegment a: Segment [A, B] of Quadrilateral poly1Segment bSegment b: Segment [B, C] of Quadrilateral poly1Segment cSegment c: Segment [C, D] of Quadrilateral poly1Segment dSegment d: Segment [D, A] of Quadrilateral poly1Segment a_1Segment a_1: Segment [A_1, B_1] of Quadrilateral poly1_1Segment b_1Segment b_1: Segment [B_1, C_1] of Quadrilateral poly1_1Segment c_1Segment c_1: Segment [C_1, D_1] of Quadrilateral poly1_1Segment d_1Segment d_1: Segment [D_1, A_1] of Quadrilateral poly1_1Segment a_2Segment a_2: Segment [A_2, B_2] of Quadrilateral poly1_2Segment b_2Segment b_2: Segment [B_2, C_2] of Quadrilateral poly1_2Segment c_2Segment c_2: Segment [C_2, D_2] of Quadrilateral poly1_2Segment d_2Segment d_2: Segment [D_2, A_2] of Quadrilateral poly1_2Segment a_3Segment a_3: Segment [A_4, B_3] of Quadrilateral poly1_3Segment b_3Segment b_3: Segment [B_3, C_3] of Quadrilateral poly1_3Segment c_3Segment c_3: Segment [C_3, D_3] of Quadrilateral poly1_3Segment d_3Segment d_3: Segment [D_3, A_4] of Quadrilateral poly1_3

Image Made by Four Equal Sized Boxes: Choice A

b.

Quadrilateral poly1Quadrilateral poly1: Polygon A, B, C, DQuadrilateral poly1_2Quadrilateral poly1_2: Polygon A_2, B_2, C_2, D_2Quadrilateral poly1_3Quadrilateral poly1_3: Polygon A_4, B_3, C_3, D_3Quadrilateral poly1_4Quadrilateral poly1_4: Polygon A_6, B_4, C_4, D_4Segment aSegment a: Segment [A, B] of Quadrilateral poly1Segment bSegment b: Segment [B, C] of Quadrilateral poly1Segment cSegment c: Segment [C, D] of Quadrilateral poly1Segment dSegment d: Segment [D, A] of Quadrilateral poly1Segment a_2Segment a_2: Segment [A_2, B_2] of Quadrilateral poly1_2Segment b_2Segment b_2: Segment [B_2, C_2] of Quadrilateral poly1_2Segment c_2Segment c_2: Segment [C_2, D_2] of Quadrilateral poly1_2Segment d_2Segment d_2: Segment [D_2, A_2] of Quadrilateral poly1_2Segment a_3Segment a_3: Segment [A_4, B_3] of Quadrilateral poly1_3Segment b_3Segment b_3: Segment [B_3, C_3] of Quadrilateral poly1_3Segment c_3Segment c_3: Segment [C_3, D_3] of Quadrilateral poly1_3Segment d_3Segment d_3: Segment [D_3, A_4] of Quadrilateral poly1_3Segment a_4Segment a_4: Segment [A_6, B_4] of Quadrilateral poly1_4Segment b_4Segment b_4: Segment [B_4, C_4] of Quadrilateral poly1_4Segment c_4Segment c_4: Segment [C_4, D_4] of Quadrilateral poly1_4Segment d_4Segment d_4: Segment [D_4, A_6] of Quadrilateral poly1_4

Image Made by Four Equal Sized Boxes: Choice B

c.

Quadrilateral poly1Quadrilateral poly1: Polygon A, B, C, DQuadrilateral poly1_2Quadrilateral poly1_2: Polygon A_2, B_2, C_2, D_2Quadrilateral poly1_1Quadrilateral poly1_1: Polygon A_7, B_5, C_5, D_6Quadrilateral poly1_3Quadrilateral poly1_3: Polygon A_8, B_6, C_6, D_8Segment aSegment a: Segment [A, B] of Quadrilateral poly1Segment bSegment b: Segment [B, C] of Quadrilateral poly1Segment cSegment c: Segment [C, D] of Quadrilateral poly1Segment dSegment d: Segment [D, A] of Quadrilateral poly1Segment a_2Segment a_2: Segment [A_2, B_2] of Quadrilateral poly1_2Segment b_2Segment b_2: Segment [B_2, C_2] of Quadrilateral poly1_2Segment c_2Segment c_2: Segment [C_2, D_2] of Quadrilateral poly1_2Segment d_2Segment d_2: Segment [D_2, A_2] of Quadrilateral poly1_2Segment a_1Segment a_1: Segment [A_7, B_5] of Quadrilateral poly1_1Segment b_1Segment b_1: Segment [B_5, C_5] of Quadrilateral poly1_1Segment c_1Segment c_1: Segment [C_5, D_6] of Quadrilateral poly1_1Segment d_1Segment d_1: Segment [D_6, A_7] of Quadrilateral poly1_1Segment a_3Segment a_3: Segment [A_8, B_6] of Quadrilateral poly1_3Segment b_3Segment b_3: Segment [B_6, C_6] of Quadrilateral poly1_3Segment c_3Segment c_3: Segment [C_6, D_8] of Quadrilateral poly1_3Segment d_3Segment d_3: Segment [D_8, A_8] of Quadrilateral poly1_3

Image Made by Four Equal Sized Boxes: Choice C

d.

Quadrilateral poly1Quadrilateral poly1: Polygon A, B, C, DQuadrilateral poly1_2Quadrilateral poly1_2: Polygon A_2, B_2, C_2, D_2Quadrilateral poly1_4Quadrilateral poly1_4: Polygon A_9, B_7, C_7, D_ {10} Quadrilateral poly1_5Quadrilateral poly1_5: Polygon A_ {10}, B_8, C_8, D_ {12} Segment aSegment a: Segment [A, B] of Quadrilateral poly1Segment bSegment b: Segment [B, C] of Quadrilateral poly1Segment cSegment c: Segment [C, D] of Quadrilateral poly1Segment dSegment d: Segment [D, A] of Quadrilateral poly1Segment a_2Segment a_2: Segment [A_2, B_2] of Quadrilateral poly1_2Segment b_2Segment b_2: Segment [B_2, C_2] of Quadrilateral poly1_2Segment c_2Segment c_2: Segment [C_2, D_2] of Quadrilateral poly1_2Segment d_2Segment d_2: Segment [D_2, A_2] of Quadrilateral poly1_2Segment a_4Segment a_4: Segment [A_9, B_7] of Quadrilateral poly1_4Segment b_4Segment b_4: Segment [B_7, C_7] of Quadrilateral poly1_4Segment c_4Segment c_4: Segment [C_7, D_ {10} ] of Quadrilateral poly1_4Segment d_4Segment d_4: Segment [D_ {10}, A_9] of Quadrilateral poly1_4Segment a_5Segment a_5: Segment [A_ {10}, B_8] of Quadrilateral poly1_5Segment b_5Segment b_5: Segment [B_8, C_8] of Quadrilateral poly1_5Segment c_5Segment c_5: Segment [C_8, D_ {12} ] of Quadrilateral poly1_5Segment d_5Segment d_5: Segment [D_ {12}, A_ {10} ] of Quadrilateral poly1_5

Image Made by Four Equal Sized Boxes: Choice D

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