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 perimeter of a rectangle is 46 m and its length is 15 m. Find its :
(i) breadth
(ii) area
(iii) diagonal.
The diagonal of a rectangle is 34 cm. If its breadth is 16 cm; find its :
(i) length
(ii) area
Each side of a rectangle is doubled. Find the ratio between :
(i) perimeters of the original rectangle and the resulting rectangle.
(ii) areas of the original rectangle and the resulting rectangle.
An equilateral triangle and d square has equal perimeter. If side of the triangle is 9.6 cm ; what is the length of the side of the square?
Each side of a square is 45 cm and a rectangle has length 50 cm. If the perimeters of both (square and rectangle) are same, find the breadth of the rectangle.
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 | ? | ? |
If every side of a rectangle is doubled, then its area becomes _______ times
What is the perimeter of the following figures? What do you infer from the answers?
 (a) |
 (c) |
 (b) |
 (d) |
An increase in perimeter of a figure always increases the area of the figure.
