Advertisements
Advertisements
Question
The diagonal of a square is 12 cm long; find its area and length of one side.
Advertisements
Solution
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
RELATED QUESTIONS
The area of a square is 169 cm2. Find its:
(i) one side
(ii) perimeter
The perimeter of a square is numerically equal to its area. Find its area.
The perimeter of a square is 36 cm; find its area
1 sq m = ______ sq cm.
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.
In an exhibition hall, there are 24 display boards each of length 1 m 50 cm and breadth 1 m. There is a 100 m long aluminium strip, which is used to frame these boards. How many square metres of cloth is required to cover all the display boards? What will be the length in m of the cloth used, if its breadth is 120 cm?
Find the side of the square whose perimeter is 20 m.
A piece of string is 30 cm long. What will be the length of each side if the string is used to form a square?
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.)
What is the formula for the perimeter of a square with each side of length s units?
