The dimensions of a picnic table are 3(x+5) and 2(3x+3). the perimeter of the rectangular table is 96 inches. Find the length of each side.

Question

3(x+5) by 2(3x+3)

 

Answer 1

Let's list our equations and what we know:

p = 2l + 2w

p = 96

l = 3(x + 5) --> 3x + 15

w = 2(3x + 3) --> 6x + 6

 

Now that we have our values, we can put them into our equation:

96 = 2(3x + 15) + 2(6x + 6)

96 = 6x + 30 + 12x + 12

96 = 18x + 42

54 = 18x

3 = x

 

Now that we have our x, we can put that into our l and w to find length and width:

 

l = 3 * 3 + 15 = 9 + 15 = 24

w = 6 * 3 + 6 = 18 + 6 = 24

96 = 2*24 + 2*24

96 = 48 + 48

96 = 96

 

So the picnic table is 24 by 24 inches.

Answer 2

P=2l+2w

96=2[3(x+5)]+2[2(3x+3)]

96=2[3x+15]+2[6x+6]

96=6x+30+12x+12

96=18x+42

96-42=18x

54=18x

x=54/18

x=3

3(3+5)=3(8)=24 inches

2(3*3+3)=2(9+3)=2(12)=24 inches

you have a square 24 inches by 24 inches

4*24=96