IMO Level 1- Mathematics Olympiad (SOF) Class 7: Questions 644 - 645 of 1022

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Question number: 644

» Triangle and Its Properties

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MCQ▾

Question

If the area of a rectangle with width a is equal to the area of a square with side a, then the length of the rectangle is ________.

Choices

Choice (4)Response

a.

a

b.

2a

c.

d.

3a

Question number: 645

» Triangle and Its Properties

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MCQ▾

Question

In the figure (not drawn to scale), ABC and DEB are triangles and FC = CE, find x.

Triangle poly1Triangle poly1: Polygon A, B, CArc dArc d: Semicircle through G and HArc eArc e: Semicircle through I and JArc kArc k: Semicircle through K and LSegment cSegment c: Segment [A, B] of Triangle poly1Segment aSegment a: Segment [B, C] of Triangle poly1Segment bSegment b: Segment [C, A] of Triangle poly1Segment fSegment f: Segment [D, F] Segment gSegment g: Segment [F, E] Segment hSegment h: Segment [E, C] Segment iSegment i: Segment [M, N] Segment jSegment j: Segment [O, P] Point AA = (3.08,4.82) Point AA = (3.08,4.82) Point AA = (3.08,4.82) Point BB = (1.12,1.58) Point BB = (1.12,1.58) Point BB = (1.12,1.58) Point CC = (5.24,1.58) Point CC = (5.24,1.58) Point CC = (5.24,1.58) Point DPoint D: Point on cPoint DPoint D: Point on cPoint DPoint D: Point on cPoint FPoint F: Point on bPoint FPoint F: Point on bPoint FPoint F: Point on bPoint EE = (9.7,1.58) Point EE = (9.7,1.58) Point EE = (9.7,1.58) 60â°text1 = “60â°”20â°text1_1 = “20â°”xtext1_2 = “x”

Image of Two Triangles ABC and DEB

Choices

Choice (4)Response

a.

b.

c.

d.

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