Answer:
380 inches
Step-by-step explanation:
We have the figure in which each grid represents 10 inches.
Now, the number of grids corresponding the horizontal lines are 9.
Thus, one horizontal line is represented by 9 × 10 = 90 inches.
So, both the horizontal lines will be represented by 90 + 90 = 180 inches.
Because the number of horizontal grids = 4 and number of vertical grids = 3 for the slanted lines.
Since, the triangle formed is right angles. Using Pythagoras Theorem, we get the number of grids of slanted line x as,
[tex]x^{2}=4^{2} +3^{2}[/tex]
i.e. [tex]x^{2}=16+9[/tex]
i.e. [tex]x^{2}=25[/tex]
i.e. [tex]x}=5[/tex]
So, the number of grids for the slanted lines are 5.
Thus, one slanted line is represented by 5 × 10 = 50 inches.
So, four of the slanted lines will be represented by 50 × 4 = 200 inches.
The perimeter of the sign = 180 + 200 inches = 380 inches.
Hence, the perimeter of the sign is 380 inches.
