Advertisements
Advertisements
Question
The perimeter of a square field is numerically equal to its area. Find each side of the square.
Advertisements
Solution
Perimeter of square = Area of square
∵ 4a = a2
`=> "a"^2/"a" = 4`
⇒ a = 4
∴ each side of square = 4
APPEARS IN
RELATED QUESTIONS
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?
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?
Find the perimeter of a rectangle whose area = 2600 m² and breadth = 50 m.
The perimeter of a square plot = 360 m. Find:
- its area.
- cost of fencing its boundary at the rate of ₹ 40 per meter.
- cost of levelling the plot at ₹60 per square meter.
A farmer has a rectangular field of length and breadth 240 m and 180 m respectively. He wants to fence it with 3 rounds of rope as shown in the figure. What is the total length of rope he must use?

The table given below contains some measures of the rectangle. Find the unknown values.
| Length | Breadth | Perimeter | Area |
| 5 cm | 8 cm | ? | ? |
Rahim and Peter go for a morning walk, Rahim walks around a square path of side 50 m and Peter walks around a rectangular path with length 40 m and breadth 30 m. If both of them walk 2 rounds each, who covers more distance and by how much?
Length and breadth of a rectangular sheet of paper are 20 cm and 10 cm, respectively. A rectangular piece is cut from the sheet as shown in the following figure. Which of the following statements is correct for the remaining sheet?

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?
The lid of a rectangular box of sides 40 cm by 10 cm is sealed all round with tape. What is the length of the tape required?
