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How many sides do rectangles have?

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Important Questions on Understanding Elementary Shapes

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Let a=BC, b=CA, c=AB be the side lengths of a triangle ABC, and m be the length of the median through A. If a=8, b-c=2, m=6, then the nearest integer to b is
EASY
The perimeter of a rhombus is 20 cm. The length of one of its diagonals is 6 cm. What is the length of the other diagonal?
EASY
The area of an equilateral triangle is 493cm2. Find its side (in cm.).
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In a circle with centre O, AB is the diameter and CD is a chord such that ABCD is a trapezium. If BAC=40°, then CAD is equal to:
HARD

The perimeter of a rectangle is 42 cm. If its diagonal is 15 cm long, find the breadth of the rectangle. 

(A) 8 cm. 

(B) 10 cm. 

(C) 9 cm. 

(D) 7 cm. 

EASY
XYZ is right angled at Y. If mX=60o, then find the value of (cotZ+2).
EASY

Land is acquired for road widening from a square ground, as shown in the figure. The width of the acquired land is 2 m. Area of the remaining ground is 440 m2. What is the shape of the remaining ground?

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The length of one side and the diagonal of a rectangle are 10 cm and 26 cm respectively. Find the length of the other side (in cm).
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X, Y and Z are the midpoints of the sides of ∆PQR. If the perimeter of ∆XYZ is 32 units, find the perimeter of ∆PQR.

 (A) 128 units 

(B) 64 units 

(C) 96 units 

(D) 160 units 

EASY
The diagonal of a rhombus is 8 m and 6 m respectively. Find its area.
MEDIUM
What is the area (in cm2) of the rhombus having side as 20 cm and one of the diagonal as 24 cm?
MEDIUM
If the length of a rectangle is decreased by 5 metres and breadth increased by 3 metres, its area decreases by 9 m2. If its length is increased by 3 m and breadth by 2 m, its area increases by 67m2. What is the length of the rectangle ?
EASY
The perimeter of a rhombus is 52 m, while its longer diagonal has a length of 24 m. The length of the other diagonal is?
EASY
A man walked diagonally across a square lot. Approximately, what was the percent saved by not walking along the edges?
EASY
The ratio of the corresponding sides of two similar triangles is 3:4. The ratio of their areas?
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The two diagonals of a quadrilateral are 5 cm and 4 cm. Can it be a rectangle? Give reasons.
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The diagonals of a rhombus bisect each other at _________ angles.
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Draw a rough figure of a quadrilateral that is not a parallelogram but has exactly two opposite angles of equal measures.
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A quadrilateral in which diagonals are not equal but bisect each other at 90° is called _____.