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Area of 2d figures || Quantitative Aptitude || CAT 2021 || 31 May

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Question 1

Perimeter of a circular field is equal to the perimeter of a square field. If the diameter of circular field is 28 m, then what is the area of square field?

Question 2

The area of a Square is 1764 sq. cm. What is the respective ratio between the length and the breadth of a rectangle whose length is 100% more than the side of the square and breadth is 22 cm less than the side of the square?

Question 3

A circular wire of diameter 84 cm is folded in the shape of a rectangle whose sides are in the ratio 7 : 4. Find the area of the enclosed rectangle.

Question 4

The perimeter of a right-angled triangle is 200% more than its base. If the area of the triangle is  then find the hypotenuse of the triangle.

Question 5

Product of the base and height of a triangle is  of the square of the radius of a circle. Find the ratio between area of the circle and area of the triangle.

Question 6

The circumference of two concentric circles are 176m and 132m. What is the area enclosed between them?

Question 7

Lengths of the adjacent sides of a parallelogram are 48 cm and 84 cm. If the distance between the shorter sides is 28 cm, then what will be the distance between the longer sides?

Question 8

The length of one of the diagonals of a rhombus is 18 cm. If the side of the rhombus is 41 cm, then what is the area of the rhombus?

Question 9

What is the area of a sector of a circle of radius 14 cm with central angle 45˚?

Question 10

If the area of in-circle of an equilateral triangle is 49π cm2, then find out the area of the triangle.
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