Advertisements
Advertisements
प्रश्न
In the following figure, ABCD is a square with AB = 15 cm. Find the area of the square BDFE.
Advertisements
उत्तर
Given, ABCD is a square and AB = 15 cm
∴ Diagonal of square ABCD = `sqrt(2)a`
= `sqrt(2) xx 15`
= `15sqrt(2)`cm
From the figure, diagonal of square ABCD is the side of square BDEF
∴ Area of the square BDFE = (Side)2
= `(15sqrt(2))^2`
= `15 xx 15 xx sqrt(2) xx sqrt(2)`
= 225 × 2
= 450 cm2
APPEARS IN
संबंधित प्रश्न
The area of a square park is the same as of a rectangular park. If the side of the square park is 60 m and the length of the rectangular park is 90 m, find the breadth of the rectangular park.
A wire is in the shape of a rectangle. Its length is 40 cm and breadth is 22 cm. If the same wire is rebent in the shape of a square, what will be the measure of each side. Also find which shape encloses more area?
Area of a square is doubled if the side of the square is doubled.
The area of each square on a chess board is 4 sq cm. Find the area of the board.
- At the beginning of game when all the chess men are put on the board, write area of the squares left unoccupied.
- Find the area of the squares occupied by chess men.
Find the area and perimeter of the following figure, if area of small square is 1 sq cm.
Guess which animal’s footprint will have the same area as yours. Discuss.
If p squares of each side 1 mm makes a square of side 1 cm, then p is equal to ______.
A room is 4.5 m long and 4 m wide. The floor of the room is to be covered with tiles of size 15 cm by 10 cm. Find the cost of covering the floor with tiles at the rate of ₹ 4.50 per tile.
A square plot has each side measuring 4.5 cm. What is its area?
If a square has an area of 36 sq cm, what is the length of its side?
