Advertisements
Advertisements
प्रश्न
The diagonal of a square is 12 cm long; find its area and length of one side.
Advertisements
उत्तर
Let side of square = a cm
diagonal = 12 cm
By Pythagoras Theorem, a2 + a2 = (12)2
2a2 = 144
a2 = 72
Area of square = a2 = 72 cm2
a2 = 72
a = `sqrt(72)` = 8.48 cm
APPEARS IN
संबंधित प्रश्न
Find the perimeter of a square; whose area is: 1.69 m2
The perimeter of a square is 36 cm; find its area
A piece of wire is 36 cm long. What will be the length of each side if we form a square
Sanju completes 10 rounds around a square park every day. If one side of the park is 110 m, then find the distance covered by Sanju in a day in terms of kilometers and meters
Three squares are joined together as shown in the following figure. Their sides are 4 cm, 10 cm and 3 cm. Find the perimeter of the figure.

Find the side of the square whose perimeter is 20 m.
Avneet buys 9 square paving slabs, each with a side of `1/2` m. He lays them in the form of a square.

- What is the perimeter of his arrangement [Fig (i)]?
- Shari does not like his arrangement. She gets him to lay them out like a cross. What is the perimeter of her arrangement [(Fig (ii)]?
- Which has greater perimeter?
- Avneet wonders if there is a way of getting an even greater perimeter. Can you find a way of doing this? (The paving slabs must meet along complete edges i.e. they cannot be broken.)
In the following figure, perimeter of (ii) is 18 units.
![]() |
| (ii) |
What is the formula for the perimeter of a square with each side of length s units?
If the perimeter of a square is 36 cm, what is the length of one side?

