# IMO Level 1- Mathematics Olympiad (SOF) Class 9: Questions 296 - 300 of 931

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## Question 296

### Question

MCQ▾

The base and height of the triangle are in the ratio . The area of the triangle is , then height of triangle = ________

### Choices

Choice (4)Response

a.

18 cm

b.

19 cm

c.

20 cm

d.

22 cm

## Question 297

### Question

MCQ▾

The area of a square and a rectangle are equal. The side of square is 12 cm and the length of rectangle is 16 cm. the perimeter of the rectangle is ________

### Choices

Choice (4)Response

a.

75 cm

b.

144 cm

c.

25 cm

d.

50 cm

## Question 298

### Question

MCQ▾

In triangle XYZ, the altitude from X to YZ meets YZ at K, and the altitude from Y to XZ meets XK at M. if , and , if then the length of MK is ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 299

### Question

MCQ▾

In the given figure, PQRS is a square of side 2a with centers P, Q, R and S, four circles are drawn such that each circle touch externally two of the remaining three circles. Then the area of the shaded region is ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 300

### Question

MCQ▾

ABCD is a parallelogram. The bisectors of and meet BC and AD at X and Y respectively, then XY =

### Choices

Choice (4)Response

a.

BY

b.

CD

c.

AY

d.

AX