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# 2D Mensuration || 31.05.2021

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Question 1

The length and the breadth of a rectangular field are 90m and 40m respectively. Outside the field, a path of 10m width is made around the field. Find, how many tiles of dimension 30cm×20cm are required to pave the path?

Question 2

The diameter of a circle is equal to the side of a square. What is the area of the square if the area of the circle is 36π square cm?

Question 3

In the adjoining figure a parallelogram ABCD is shown. AB=24am and AO=BO=13cm. Find BC Question 4

From a point lying inside an equilateral triangle, three perpendiculars are drawn on each side. If the lengths of these perpendiculars is 3 cm, 4 cm, and 5 cm, then what is the area (in square cm) of the triangle?

Question 5

In the given figure Δ PQR is an equilateral Δ and circle with center o and o' are of radius 9cm & 4cm respectively. Find the area of shaded portion. Question 6

The perimeter of an isosceles triangle is 90 cm. If the base is 26 cm, then find the length of the equal sides.

Question 7

If the lengths of the diagonals of a rhombus are 24 cm and 32 cm respectively, then the perimeter of the rhombus is

Question 8

The lengths of the parallel sides of a trapezium are 51 cm and 21 cm, and that of each of the other two sides is 39 cm. What is the area (in cm2) of the trapezium?

Question 9

In a trapezium PQRS, PQ||RS and diagonals PR and QS intersect at O. If PQ = 2RS and RS = 2.5 cm and area of triangle SOR = 6.25 cm2, then find the area of triangle POQ:

Question 10

What is the ratio of the inradius and circumradius of a square?
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