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2-D Mensuration || 09.02.2021

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Question 1

The area of a trapezium is 105 sq. m and, the lengths of its parallel sides are 9 m and 12 m respectively. Find the perpendicular distance between the two parallel sides.  

Question 2

The area of a circle inscribed in a square of area 2 m2 is

Question 3

The length of a side of a rhombus is 10 m and one of its diagonal is 12 m. The length of the other diagonal is

Question 4

The side of a square increases by 10%, then find, by what percent, does its area increase?

Question 5

A semi-circular sheet of metal of diameter 28 cm is bent into an open conical cup. The depth of the cup is approximately

Question 6

A circle and a rectangle have have the same perimeter. The sides of the rectangle are 10 cm and 12 cm. The area of the circle is:

Question 7

The perimeter of a rectangle and an equilateral triangle are same. Also, length of the rectangle is equal to the side of the triangle. The ratio of the areas of the rectangle and the equilateral triangle is how much?

Question 8

The length of a rectangular park is 620 m and its breadth is 505 m. Find the cost of fencing the park at the rate of ₹ 8. 50 per meter?

Question 9

The parallel sides of a trapezium are in a ratio 2 :3 and their shortest distance is 12 cm. If the area of the trapezium is 480 sq. cm., the longer of the parallel sides is of length :

Question 10

The area of rectangle is 1680 cm2 and the length of the diagonal is 58 cm. Find the perimeter of the rectangle.
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