Question

A street sign is a square with side lengths of (9.6x+4.8) centimeters. The perimeter of the sign is 433.92 centimeters. Write and solve an equation to find the side length of the street sign.

a) 9.6x+4.8=433.92
b) 4(9.6x+4.8)=433.92
c) 4(9.6x+4.8)=173.52
d) 9.6x+4.8=108.48

Answer 1

To find the side length of the street sign, we can set up and solve an equation using the perimeter formula for a square.

Step-by-step explanation:

To find the side length of the street sign, we can set up an equation using the perimeter formula for a square. The perimeter of a square is calculated by multiplying the length of one side by 4. So, if the side length of the sign is (9.6x+4.8) centimeters, the equation would be 4(9.6x+4.8) = 433.92.

Simplifying the equation, we get 38.4x + 19.2 = 433.92. Now, we can solve for x by subtracting 19.2 from both sides and then dividing both sides by 38.4. x = (433.92 - 19.2) / 38.4.

Calculating the value of x, we get x = 11.2. Finally, we can substitute the value of x back into the original equation to find the side length of the street sign: 9.6(11.2) + 4.8 = 108.48 + 4.8 = 113.28 centimeters.