Question

Travis is building a rectangular sandbox for his younger brother. The length of the sandbox is 1 foot longer than twice the width of the sandbox. The perimeter of the sandbox is 29 feet.

Answer 1

let's say the width is x
we know that the length is 2x+1 (1 foot longer than twice the width)
the perimeter is all sides added up so that's x+x+2x+1+2x+1 which is simplified to 6x+2
we also know that the perimeter is 29, so 6x+2=29
take 2 from both sides to get 6x=27
divide both sides by 6 to get 4.5 therefore the width is 4.5
from this we know that the length is 2(4.5)+1 since x is 4.5
now we know the length is 10.
if you want the area it is 4.5 times 10 which is 45feet^2