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 poly1 Triangle poly1: Polygon A, B, C Arc d Arc d: Semicircle through G and H Arc e Arc e: Semicircle through I and J Arc k Arc k: Semicircle through K and L Segment c Segment c: Segment [A, B] of Triangle poly1 Segment a Segment a: Segment [B, C] of Triangle poly1 Segment b Segment b: Segment [C, A] of Triangle poly1 Segment f Segment f: Segment [D, F] Segment g Segment g: Segment [F, E] Segment h Segment h: Segment [E, C] Segment i Segment i: Segment [M, N] Segment j Segment j: Segment [O, P] Point A A = (3.08,4.82) Point A A = (3.08,4.82) Point A A = (3.08,4.82) Point B B = (1.12,1.58) Point B B = (1.12,1.58) Point B B = (1.12,1.58) Point C C = (5.24,1.58) Point C C = (5.24,1.58) Point C C = (5.24,1.58) Point D Point D: Point on c Point D Point D: Point on c Point D Point D: Point on c Point F Point F: Point on b Point F Point F: Point on b Point F Point F: Point on b Point E E = (9.7,1.58) Point E E = (9.7,1.58) Point E E = (9.7,1.58) 60â° text1 = “60â°” 20â° text1_1 = “20â°” x text1_2 = “x”

Image of Two Triangles ABC and DEB

Showing an image of two triangles ABC and DEB, so find x

Choices

Choice (4) Response

a.

b.

c.

d.