Answer:
width = 10, length = 30
Step-by-step explanation:
the perimeter can be written as: (2 x width)(2 x length) or width + width + length + length, I'm sure there are others, but I won't get into that.
anyways, lets call width of the triangle "x". x is 1/3 of the length, in other words, x + x + x = length. we can now say that length is 3x.
width = x
length = 3x
now lets plug in these answers to the "width" and "length" in the perimeter formula
perimeter = x + x + 3x + 3x
we are given the perimeter, that is 80.
x + x + 3x + 3x = 80
x + x can be simplified to 2x
think of "x" like label, say... xylophones
2 xylophones + 3 xylophones + 3 xylophones = 8 xylophones
8x = 80
divide 80 by 8.
x = 10
now we know the width.
width = 10
remember, the length is width x 3
10 x 3 = 30
the width = 30
let's check our answer!
10 + 10 + 30 + 30 = 80
