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Mensuration 2D || 08.03.2021

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Question 1

Find the area of the hexagon formed after cutting the corners of the sides of an equilateral triangle of side 9 cm.

Question 2

The perimeter of a triangle is 40 cm and the inradius of the triangle is 3.5 cm. What is the area of the triangle?

Question 3

The length and breadth of a rectangular field are in the ratio 7 : 4. A path 4 m wide running all round outside has an area of 416 m2. The breadth (in m) of the field is

Question 4

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 5

Four pieces, each in the shape of arc of a circle with radius 2 cm are cut out from four corners of a square of side 4 cm. The area of the remaining portion is:

Question 6

A circular wire of diameter 77cm is bent in the form of a rectangle whose length is 142% of its breadth. What is the area of the rectangle?

(Take π = 22/7)

Question 7

A circular wire of diameter 126 cm is cut and bent in the form of a rectangle whose sides are in the ratio 11 : 7. Then the area of the rectangle formed in cm2 is

Question 8

A circle is inscribed in a triangle ABC. It touches sides AB, BC and AC at the points P, Q and R, respectively, If BP = 5.4 cm. CQ = 7.3 cm and AR = 6.1 cm, then the perimeter (in cm) of the ∆ABC is:

Question 9

What is the area of a rhombus (in cm2) whose side is 10 cm and the smaller diagonal is 12 cm?

Question 10

A rectangle measures 8 cm on length. Its diagonal measures 10 cm. What is the perimeter of the rectangle?
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Apr 30SSC & Railway