The area ofof a rectangle is (14x^4 + 7x^2) cm²and its breadth is 7x^2 cm. Find its length.

Mathematics

2 answers:

NeTakaya2 years ago

7 0

Answer:

2x^1+1

Step-by-step 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

zlopas [31]2 years ago

3 0

Answer:

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.

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