Answer:
2 sides are [tex]\frac{33}{13}[/tex] or 2.5
2 sides are [tex]\frac{47}{13}[/tex] or 3.6
Step-by-step explanation:
There must be 2 2x+3s and 2 3x+2s
The perimeter is the sum of the sides (it has 4 sides)
2(2x+3) + 2(3x+2) = 4(4x-5)
distributive property
2*2x + 2*3
4x+6
other one
2*3x + 2*2
6x+4
perimeter
4*4x + 4*-5
16x-20
together...
(4x+6) + (6x+4) = 16x-20
add like terms
10x+10 = 16x-20
add 20 to both sides
10x+30 = 16x
subtract 10x from both sides
30 = 26x
divide by 26 on both sides
[tex]\frac{30}{26} = x[/tex]
simplify
[tex]\frac{15}{13}[/tex]
Substitute the x value
2 of the sides are 2x+3
so
[tex]2(\frac{15}{13} ) + 3[/tex]
[tex]\frac{30}{13} + \frac{3}{1}[/tex]
[tex]\frac{33}{13}[/tex]
or 2.5
other sides
[tex]3(\frac{15}{13} ) + 2[/tex]
[tex]\frac{45}{13} + \frac{2}{1}[/tex]
[tex]\frac{47}{13}[/tex] or 3.6
That's all I can say for now! Hope this helps and a thank won't hurt! :)
