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# Mensuration 2D || 10.05.2021

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Question 1

One diagonal of a rhombus is 60% of the other diagonal and there is a square whose side is 1.5 times of the larger diagonal of the rhombus. Then, the area of the incircle of the square is how many times the area of the rhombus?

Question 2

A circular wire of radius 42 cm is bent in the form of a rectangle whose sides are in the ratio of 6:5 the smaller side of the rectangle is

Question 3

A field is in the shape of a trapezium whose parallel sides are 200 m and 400 m long, whereas each of other two sides is 260 m long. What is the area (in m2) of the field?

Question 4

A wire encloses an area of 616 cm2, when it is bent in the form of a circle. If the wire is bent in the form of a square, then its area (in cm2) is very nearly equal to:

Question 5

The diagonal of a square is 14 cm. What will be the length of the diagonal of the square whose area is double of the area of first square?

Question 6

The sides of a triangular field are 120 m, 170 m and 250 m. The cost of leveling the field at the rate of Rs.7.40/m2 is:

Question 7

In a rectangular plot, trees are to be planted across a T-shaped path of 6m width as shown in the figure. The length and width of the plot is in the ratio 5:3 and area is 735 m2. If one tree occupies 1.25 mthen how many trees can be planted in the given space? Question 8

The diagonal of a square is equal to the side of an equilateral triangle. If the area of the square is 18√3 sq. cm. What is the area (in cm2) of the equilateral triangle?

Question 9

The radii of three concentric circles are in the ratio of 4 : 5 : 7. What is the ratio of the area between the two inner circles to that between the two outer circles?

Question 10

If the length of a rectangle increases by 50% and the breadth decreases by 25%, then what will be the percent increase in its area?
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