Question

Can someone please do this i suck at math

Answer 1

Answer:

Width = y + 7x

Step-by-step explanation:

Area of the rectangle = ${y}^{2} + 8xy + 7 {x}^{2}$

Length of the rectangle = $y + x$

Lets factorise ${y}^{2} + 8xy + 7 {x}^{2}$

$= > {y}^{2} + xy + 7xy + {x}^{2}$

$= > y(y + x) + 7x(y + x)$

$= > (y + 7x)(y + x)$

Now ,

Width = $\frac{Area}{Length} = \frac{(y + 7x)(y + x)}{(y + x)} = y + 7x$