Answer:
P for the big rectangle is 12 meters and for the small one is 5 meters
Step-by-step explanation:
BIG 2(4x-5)+2(3x-1)
8x-10+6x-2
14x-12
Small 2(x)+2(x+1)
2x+2x+2
4x+2
Find x and plug in the values to find P
P for Big 14x-12
P for small 4x+2
Solve for x
Big = 2 meters > twice the P of the small rectangle
2 times (4x+2) +2 meters
2(4x+2)+2
distribute
2*4x=8x and 2*2=4 so 8x+4+2
8x+6
8x/8 + 6/8
x=6/8 or simplest form x=3/4
I changed x from a fraction to a decimal for easier multiplication, so x=.75
Find the P for the small rectangle by plugging in the value of X
small P=4(.75)+2
P for the small rectangle is = 5 meters
BIG rectangle
2(4x+2)+2
2(4*.75+2)+2
2*(3+2)+2
2(5)+2
10+2
P=12
P for the BIG rectangle is = 12 meters
P for the small rectangle is = 5 meters
