Answer:
x=27.5
FG=72.5
GH=60
HF=47.5
Step-by-step explanation:
Sum of angles in a triangle=180
Therefore, FG+GH+HF=180
Substituting the values we have,
(3x - 10) + (2x+5) +(x+20) = 180
Collecting like terms
3x+2x+x = 180 +10 - 5 - 20
6x = 165
X= 27.5
FG = (3x - 10) = 3(27.5) - 10
FG= 72.5
GH= (2x+5) = 2(27.5)+5
GH=60
HF= x+20 =27.5+20
HF=47.5
The least common multiple is 3
Let's call L the width of the rectangle and W its width. The area of the rectangle is the product between the length and the width, and we are also told that the area is 300 square meters, so we can write

Moreover, we know that the length is 5 meters longer than the width:

We have a system of 2 equations in 2 unknown variables, L and W. If we substitute the second equation into the first one, we get


which has two solutions: W=-20 and W=15. We can discard the negative solution since it does not have physical meaning, and now we can substitute the value of W into the second equation to find L:

<span>Therefore, the rectangle has width 15 meters and length 20 meters.</span>