Question

a square and a parallelogram have the same area if a side of the square is 40 metre and the height of the parallelogram is 20 find the length of the corresponding base of the parallelogram​

Answer 1

Answer:

base =80cm

Step-by-step explanation:area of square =area of parllelogram

a*a=h*b

40*40=20*b

1600=20*b

b=1600/20

b=80

Answer 2

Answer: 80 m

Step-by-step explanation:

Let area of the Square = As

Side of the Square (s) =  40 m

Area of the square is calculated as,

1.  As = (s) x (s) = 40 x 40 = 1600 Sq.m.

Let area of the parallelogram  = Ap

Height of the parallelogram (h) = 20 m

Base length of the parallelogram (b) = ?

Now, area of the parallelogram is given as  

2.  Ap = Height x Base length = (h) x (b)

As we know that areas of square and the rhombus are equal,  

Area of square (As) = Area of the parallelogram (Ap)

Putting the values from the two equations, (1.) & (2.), we get

1600 = (h) x (b)

1600 = 20  x (b)

(b) = 1600 / 20

(b) = 80

Therefore, The length of the corresponding base of the parallelogram is 80 m.