Question

hey can anyone anser this question

Answer 1

Answer:

length of a rectangle is = x+ 5

this is your answer

hope it helps you!!!!

Answer 2

${ \underbrace{ \underline{ \sf{ Understanding \: the \: concept }}}}$

Here in this question, Concept of rectangle is used. Given, Area of the rectangle and width of the rectangle i.e x² + 8x + 15 and x + 3 metres. We can see that given data is a expression. Here we can use this formula ➜ Area = L × B.

Here,

➜ Area of rectangle is x² + 8x + 15

➜ Width of rectangle is x + 3

Now, Let's find length of the rectangle by the data given to us.

[ NOTE - We are using the formula - A = l × b ]

To find length of the rectangle we will use this ↑ formula, So let's do it !

$\leadsto \sf {x}^{2} + 8x + 15 = x + 3 \times l$

$\leadsto \sf l = \dfrac{ {x}^{2} + 8x + 15}{x + 3}$

$\leadsto \sf l= \dfrac{x(x+5)+3(x+5)}{x + 3}$

$\leadsto \sf l= \dfrac{(x+5)+(x+3)}{x + 3}$

$\leadsto \sf l = \dfrac{ \cancel{(x+3)}+(x+5)} { \cancel{x + 3}}$

$\leadsto \sf \purple{ l = x+5}$

Therefore, length of the rectangle is x + 5