5. A man sold a square field of side 35 mand a rectangular field of length 51 m andbreadth 25 m. He then purchased a squarefield of equal area. Find the side of thesquare field.

Side of square (a) = 35m.

Area = a² = 35² = 1225m².

Length of rectangle = 51m.

Width of rectangle = 25m.

Area = l × b = 51 × 25 = 1275m².

Now, Area of square field became = 2500m².

s² = 2500 => s = √2500 = 50m.

Perimeter of new square field = 4a

= 4 × 50 = 200m.

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

the answer is 2/54

step-by-step explanation: