Question

: The area of
rectangle is x2 + 9 x + 20. If its breadth
is ( x + 5)​

Answer 1

Answer:

(x + 4)

Step-by-step explanation:

Area of rectangle is

${x}^{2} + 9x + 20$

and it's breadth is (x + 5). We have to find its length.

Area = Length X Breadth

or,

${x}^{2} + 9x + 20 = length \times (x + 5)$

or, Length =

$\frac{ {x}^{2} + 9x + 20 }{x + 5}$

or,

$\frac{(x + 5)(x + 4)}{(x + 5)}$

Therefore, length =

$(x + 4)$

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Answer 2

Area of rectangle = x² + 9x + 20

Breadth of rectangle = (x + 5)

Then,

$\text{Length of rectangle = } \frac{ \text{Area of rectangle}}{ \text{Breadth of rectangle}} \\ \\ \\ \tt = > \frac{ {x}^{2} + 9x + 20}{x + 5} \\ \\ \bf = > \frac{(x + 5)(x + 4)}{x + 5} \\ \\ \sf= > x + 4$

Thus,

• Length of rectangle is (x + 4)