Question

Can anyone help me solve this please?

Answer 1

Answer:

The linear equations for the given Rectangle are

1. $y = 4x +4$
2. $y = 6x - 6$

Step-by-step explanation:

Given:

area given by 'y'

For figure 1,

$Length  = x +1\\Breadth = 4\\\textrm{Area of Rectangle} = Length\times Breadth\\y= (x+1)\times 4\\y= 4x + 4$

For figure 2,

$Length  = 2x -2\\Breadth = 3\\\textrm{Area of Rectangle} = Length\times Breadth\\y= (2x-2)\times 3\\y= 6x - 6$

Now we will plot the these two line on DESMOS so, we will have the intersection of these two line.

So, the intersection points are (5,24) that is x coordinate '5' and y coordinate '24'.

∴ $x=5\ and\ y=24$

For figure 1,

∴ $Length =x+1\\=5+1\\=6\ unit\\Area=4x + 4\\=4\times5 +4\\=24\textrm{ square units}$

For figure 2,

∴ $Length =2x-2\\=2\times5-2\\=8\ unit\\Area=6x - 6\\=6\times5 -6\\=24\textrm{ square units}$