Question

A rectangular field has a perimeter of (10a - 6 ) meters and a width of 2a meters. write a polynomial to represent the length ​

Answer 1

The length of the rectangular field is (3 a - 3) meters

Explanation:

Given as :

The Perimeter of rectangular field = p = ( 10 a - 6 ) meters

The width of the rectangular field = w = 2 a meters

Let The length of the rectangular field = L meters

Now From The perimeter formula

Perimeter of rectangular field = 2 × Length + 2 × width

Or, p = 2 × L + 2 × w

Or, ( 10 a - 6 ) meters = 2 × L meters + 2 × 2 a meters

Or, 10 a - 6 = 2 × L + 4 a

Or, 10 a - 4 a - 6 = 2 L

Or, 6 a - 6 = 2 L

∴ L =
`(6 a - 6)/(2)`

i,e L = 3 a - 3

So, The length of the rectangular field = L = (3 a - 3) meters

Hence,The length of the rectangular field is (3 a - 3) meters Answer