Advertisements
Advertisements
प्रश्न
A large square is made by arranging a small square surrounded by four congruent rectangles as shown in the following figure. If the perimeter of each of the rectangle is 16 cm, find the area of the large square.
Advertisements
उत्तर
Let the length and breadth of rectangle be l and b, respectively.
It is given that, perimeter of one rectangle = 16 cm2
⇒ 2(l + b) = 16 ...[∵ Perimeter of rectangle = 2(l + b)]
⇒ l + b = 8 cm
Since, the side of larger square is (l + b).
Hence, area = (side)2 = (l + b)2 = (8)2 = 64 cm2
APPEARS IN
संबंधित प्रश्न
The length and the breadth of a conference hall are in the ratio 7: 4 and its perimeter is 110 m. Find:
(i) area of the floor of the hall.
(ii) a number of tiles, each a rectangle of size 25 cm x 20 cm, required for the flooring of the hall.
(iii) the cost of the tiles at the rate of ₹ 1,400 per hundred tiles.
Each side of a square field is 70 cm. How much distance will a boy walk in order to make?
(i) one complete round of this field?
(ii) 8 complete rounds of this field?
Find the perimeter of an isosceles triangle with each equal side = 13 cm and the third side = 10 cm.
The side of a square is 3.6 cm; find its perimeter.
Each rectangular tile is 40 cm long and 30 cm wide. How many tiles will be required to cover the floor of a room with length = 4.8 m and breadth = 2.4 m.
The length of a rectangular plot of land is 50 m and its width is 30 m. A triple fence has to be put along its edges. If the wire costs 60 rupees per metre, what will be the total cost of the wire needed for the fence?
Four rounds of wire fence have to be put around a field. If the field is 60 m long and 40 m wide, how much wire will be needed?
The table given below contains some measures of the rectangle. Find the unknown values.
| Length | Breadth | Perimeter | Area |
| 5 cm | 8 cm | ? | ? |
A hedge boundary needs to be planted around a rectangular lawn of size 72 m × 18 m. If 3 shrubs can be planted in a metre of hedge, how many shrubs will be planted in all?
Rectangle MNOP is made up of four congruent rectangles (see figure). If the area of one of the rectangles is 8 m2 and breadth is 2 m, then find the perimeter of MNOP.
