Question

Sides of a quadrilateral field are given by (7x -3) m , (6x -1)m (3x +5)m and (5x +1)m. Find it is a rectangular field or square field if x =2​

Answer 1

Step-by-step explanation:

Given: Sides of a quadrilateral are:

1. (7x -3) m , (6x -1)m (3x +5)m and (5x +1)m.
2. x=2.

To find: Whether these sides form rectangle or square.

Sides are :

1. 7x-3 = 7×2-3 = 14-3=11m.
2. 6x-2= 6×2-1=12-1=11m.
3. 3x+6 = 3×2+5= 6+5=11m.
4. 5x+1= 5×2+1 = 10+1=11m.

Let us consider , A rectangle and a square of sides ABCD.

If it is a rectangle, then opposite sides are equal.

i.e., AB= CD or AD=BC.

If it is square, then all sides are equal.

i.e., AB=BC=CD=DA.

If we look at the sides, then it is clear that all sides are equal.

:: Hence, these sides forms a square of 11m.