EASY
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All the interior angles of a rectangle measures degrees.

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Important Questions on Understanding Elementary Shapes

EASY
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).
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

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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EASY
The diagonal of a rhombus is 8 m and 6 m respectively. Find its area.
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. 

MEDIUM

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
XYZ is right angled at Y. If mX=60o, then find the value of (cotZ+2).
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 ?
MEDIUM
If PQRS is a trapezium such that PQ>RS, and L , M are the mid points of the diagonals PR and QS, respectively, then what is LM equal to?
EASY

Which of the listed points describes a rectangle?

i. All sides are equal.

ii. Opposite sides are parallel and equal to each other.

iii. All the interior angles are right angles.

iv. Only one pair of opposite sides is parallel.

EASY
Draw a rough figure of a quadrilateral that is not a parallelogram but has exactly two opposite angles of equal measures.
EASY

John has a farm, which is rectangular in shape. He decides to put fence wire along one side at a time. If he starts from side $ \text{ON}$, the length of fence wire required for side $ \text{ON}$ is _____Km.

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MEDIUM

In the figure, the midpoints of the diagonals of a rhombus are joined to form a small quadrilateral:

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Prove that this quadrilateral is a rhombus.

HARD

ABCD is a rectangle.

AC and BD intersect at O and form $ ∆\text{AOB},∆\text{BOC},∆\text{COD and}∆\text{DOA}$ . Identify the type of all these triangles ?

EASY

ABCD is a rectangle, its diagonals meet at O. Find x, if OA=2x+4 and OD=3x+1.

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EASY

The opposite sides of a rectangle intersect each other at a point. Is this statement true or false?

EASY
The diagonals of a rhombus bisect each other at _________ angles.