Advertisements
Advertisements
प्रश्न
The perimeter of a square is numerically equal to its area. Find its area.
Advertisements
उत्तर
Let each side of the square be x cm.
Its perimeter = 4x,
Area = x2
By the given condition 4x = x2
=> x2 – 4x = 0
=> x (x – 4) = 0
=> x = 4 [x ≠ 0]
Area = x2 = (4)2 = 4 x 4 = 16 sq.units.
APPEARS IN
संबंधित प्रश्न
The table given below contains some measures of the square. Find the unknown values.
| Side | Perimeter | Area |
| 6 cm | ? | ? |
Your garden is in the shape of a square of side 5 m. Each side is to be fenced with 2 rows of wire. Find how much amount is needed to fence the garden at ₹ 10 per metre
Draw a square B whose side is twice of the square A. Calculate the perimeter of the squares A and B
1 sq cm = ______ cm × 1 cm.
In an exhibition hall, there are 24 display boards each of length 1 m 50 cm and breadth 1 m. There is a 100 m long aluminium strip, which is used to frame these boards. How many square metres of cloth is required to cover all the display boards? What will be the length in m of the cloth used, if its breadth is 120 cm?
In the following figure, each square is of unit length
- What is the perimeter of the rectangle ABCD?
- What is the area of the rectangle ABCD?
- Divide this rectangle into ten parts of equal area by shading squares. (Two parts of equal area are shown here)
- Find the perimeter of each part which you have divided. Are they all equal?

Parmindar walks around a square park once and covers 800 m. What will be the area of this park?
In the following figure, perimeter of (ii) is 18 units.
![]() |
| (ii) |
Three squares are attached to each other as shown in the following figure. Each square is attached at the mid-point of the side of the square to its right. Find the perimeter of the complete figure.

Which statement is always true for a square?

