If side of a square is “x” meter and area of that square is x square meter, then which of the following is true?
It is true for x = 1
Area of a square = side × side = (side)².
Given side = x m and area = x m², so
x² = x
x² - x = 0
x(x - 1) = 0
x = 0 or x = 1
A side length cannot be 0, so the only valid value is x = 1.
Check: side 1 m gives area 1 × 1 = 1 m², and the number 1 is the same for both.
Hence, It is true for x = 1.
Important Questions from Plane Figures
If the area of a square is 625 cm 2, then what is the perimeter of the square?
The area and the perimeter of a sheet of paper are 240 cm 2and 68 cm, respectively. What would be its length and breadth?
One side of rectangular field is 15 meters and one of its diagonals is 17 meters. Then find the area of the field.
The perimeter and the length of one of the diagonals of a rhombus is 26 cm and 5 cm respectively. Find the length of its other diagonal (in cm).
ABCD is a trapezium in which AB is parallel to DC. Let E and F be the midpoints on AD and BC respectively. If EF = 10 cm and AB - DC = 4 cm, then what is the value of AB × DC?
