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Mensuration 2D || 01.04.2021

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Question 1

In the given figure PQRS is a square, then find the ratio of the area of shaded portion and the area of unshaded portion.

PT : TQ = 1 : 2
QU : UR = 3 : 1
RV : VS = 1 : 1

Question 2

The sides of a triangle having area 7776 square cm are in the ratio 3 : 4 : 5. The perimeter of the triangle is

Question 3

From a circular sheet of paper with a radius 20 cm, four circles of radius 5 cm each are cut out. What is the ratio of the uncut to the cut portion?

Question 4

ABC is an isosceles right triangle and AC is its hypotenuse. The area of the square drawn on hypotenuse as side is 128 cm². What is the sum of areas of equilateral triangles drawn on AB and BC as sides?

Question 5

In the given figure, If AD = 3, DE = 4, AB = 12, BF = 2, FG = 6, BC = 10, then the value of

is:

(M is the area of the quadrilateral FGDE and N is the area of the triangle ABC.)

Question 6

𝐼n the given figure PQRS is a square whose side is 8 cm. PQS and QPR are two quadrants. A circle is Placed touching both quadrants and the square as Shown in the figure. What is the area (in cm²) of circle?