Question

The area of

of a rectangle is (14x^4 + 7x^2) cm²
and its breadth is 7x^2 cm. Find its length.​

Answer 1

The area of a rectangle is (14x^4 + 7x^2) cm²

and its breadth is 7x^2 cm.

it's length is :---

`= \frac{(14{x}^(4) + 7 {x}^(2))}{7 {x}^(2) } \\ = \frac{7 {x}^(2)(2 {x}^(2) + 1) }{7 {x}^(2) } \\ = (2 {x}^(2) + 1) \: c {m}`

(2x^2+1) cm is the right answer.

Answer 2

2x^1+1

Explanation:

Area=L X W

which means that (14x^4+7x^2) needs to be divided by 7x^2

factorise(14x^4+7x^2) which gives 7x(2x^2+1)

divide 7x(2x^2+1) by 7x^2

gives 2x^2 +1