EASY
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Shyam’s teacher drew a rectangle, which had the measurements as shown in the figure below. The length of the side $ \text{ON}$ is $ \text{cm}$.

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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
Give reasons for the following:
A square can be thought of as a special rectangle.
 
EASY
If the length of a diagonal AC of a square ABCD is 5.2 cm, then the area of the square ABCD is?
EASY
The diagonals of a rhombus bisect each other at _________ angles.
EASY

In the given rectangle $ \text{ABCD}$, if AC$ =13\text{cm}$, length of the diagonal BD is _____$ \text{cm}$.

 

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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

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?