Advertisements
Advertisements
प्रश्न
A large square is made by arranging a small square surrounded by four congruent rectangles as shown in the given figure. If the perimeter of each of the rectangle is 16 cm, find the area of the large square.
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
A rectangular field has length = 160m and breadth = 120 m. Find:
(i) the perimeter of the field.
(ii) the length of fence required to enclose the field.
(iii) the cost of fencing the field at the rate of? 80 per meter.
Find the perimeter of a regular pentagon of side 8.2 cm.
A rectangle with length = 18 cm and breadth = 12 cm has same perimeter as that of a regular pentagon. Find the side of the pentagon.
If A denotes area of a rectangle, l represents its length and b represents its breadth, find:
b, if A = 88 m² and l = 8m
The perimeter of a rectangular field is 500 m and its length = 150 m. Find:
(i) its breadth,
(ii) its area.
(iii) cost of ploughing the field at the rate of ₹1.20 per square meter.
Find the perimeter of the following figure
Length of a rectangular field is 250 m and width is 150 m. Anuradha runs around this field 3 times. How far did she run? How many times she should run around the field to cover a distance of 4 km?
What is the perimeter of the following figures? What do you infer from the answers?
 (a) |
 (c) |
 (b) |
 (d) |
36 unit squares are joined to form a rectangle with the least perimeter. Perimeter of the rectangle is ______.
In the given figure, a rectangle with perimeter 264 cm is divided into five congruent rectangles. Find the perimeter of one of the rectangles.
