Question

100 PTS!!!! The perimeter of a rectangle is 4(4x - 5) inches. the length of the sides of the rectangle are 2 x + 3 inches and 3x + 2 inches. WRITE AND SOLVE an EQUATION to find the length of each side of the rectangle. ( you have to show all work for branliest!!!!! :D)

Answer 1

refer the attachment

hope it helps you

Answer 2

Answer:

2 sides are $\frac{33}{13}$ or 2.5

2 sides are $\frac{47}{13}$ 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

$\frac{30}{26} = x$

simplify

$\frac{15}{13}$

Substitute the x value

2 of the sides are 2x+3

so

$2(\frac{15}{13} ) + 3$

$\frac{30}{13} + \frac{3}{1}$

$\frac{33}{13}$

or 2.5

other sides

$3(\frac{15}{13} ) + 2$

$\frac{45}{13} + \frac{2}{1}$

$\frac{47}{13}$ or 3.6

That's all I can say for now! Hope this helps and a thank won't hurt! :)