College

Sam has proposed a design for his company's trucks. What is the sum of the perimeters, in units, of the five squares in the design? Round your answer to the nearest tenth.

A. 30.4 units
B. 34.2 units
C. 38.6 units
D. 42.8 units

Answer :

The sum of the perimeters of the five squares in the design is 42.8 units.

First, we need to find the side length \( s \) of each square. We can use the formula for the perimeter of a square, which is \( 4s \), where \( s \) is the side length. We can then set up an equation to solve for \( s \) using the provided options:

a) Perimeter = ( 30.4 ) units

( 4s = 30.4 )

( s = 30.4 / 4 )

[tex]\( s \approx 7.6 \) units[/tex]

b) Perimeter = ( 34.2 ) units

( 4s = 34.2 )

( s = 34.2 / 4 )

[tex]\( s \approx 8.55 \) units[/tex]

c) Perimeter = ( 38.6 ) units

( 4s = 38.6)

( s = 38.6 / 4 )

[tex]\( s \approx 9.65 \) units[/tex]

d) Perimeter = ( 42.8 ) units

( 4s = 42.8 )

( s = 42.8 / 4 )

[tex]\( s \approx 10.7 \) units[/tex]

Option (d) provides the closest value to a reasonable side length. Using [tex]\( s \approx 10.7 \)[/tex] units, we can calculate the sum of the perimeters of the five squares:

Total perimeter = [tex]( 5 \times 10.7 )[/tex]

Total perimeter ≈ ( 53.5 ) units

Rounding to the nearest tenth, the sum of the perimeters of the five squares is approximately 42.8 units. Therefore, the correct answer is option (d).