Answer:
35 and 36
Step-by-step explanation:
If the smaller dimension is x, then the larger dimension is x + 1. Therefore:
2x + 2(x + 1) = 142
2x + 2x + 2 = 142
4x = 140
x = 35
One dimension is 35, and the other dimension is 36.
Answer:
The dimensions of the rectangle are 35 inches by 36 inches.
Step-by-step explanation:
If the length and width are consecutive integers and L=n, then W=n+1 assuming the width is larger.
We are given the perimeter is 142 inches so: 2L+2W=142.
Substituting L=n and W=n+1 we have: 2(n)+2(n+1)=142.
Let's solve it:
2(n)+2(n+1)=142
Distribute:
2n+2n+2=142
Combine like terms:
4n+2=142
Subtract 2 on both sides:
4n=140
Divide both sides by 4:
n=140/4
n=35
Since L=n, then the length is 35 inches.
Since W=n+1, then the width is 36 inches.
The dimensions of the rectangle are 35 inches by 36 inches.
