Question

two figures are shown. figure a is a square and figure b is a rectangle. the perimeter of figure a is equal to perimeter of figure



__3x-2_____
| |
| |
3x-2| | 3x-2
|___________|
3x-2

____________________
| |
| |
| | x-2
|___________________|
2x+5


What is the value of x?
a. 3/7
b. 7/3
c. 8
d. 14

My answer is in-between b and d may you help me out?

Answer 1

so, did you actually use the value(s) and see whether they worked? Being able to check your answer is just as important as getting it in the first place!

if the perimeters are equal, then

4(3x-2) = 2(x-2 + 2x+5)
4(3x-2) = 2(3x+3)
2(3x-2) = 3x+3
6x-4 = 3x+3
3x = 7
x = 7/3