Verified Answer :

  1. Find the surface area of the rectangular prism. (1 point) 
    Measures are 2, 3, and 4 inches. Let W=2, L=3, H=4 
    a rectangular has six sides, the total surface area is equal to 6 plains: 
    2WL + 2LH + 2LW 
    = 2(WL + LH + LW) 
    = 2 (23 + 34 + 42) 
    = 2 ( 6 + 12 + 8 ) 
    = 2     26 
    = 52 ................... the last choice 

    2. A cube has a side length of x feet. Which expression represents the surface area of the cube? (1 point) 

    Area of one face = x^2, Total Area of 6 faces = 6x^2 = 2x^2 units 


    3. Find the surface area of the cylinder. Use 3.14 for pi . (1 point) 
    Length: 15 cm, Diameter: 2 cm 
    A cylinder has 3 surfaces: two circles + one curved surface area 
    ...... two circles of 2cm diameter (1cm radius) 
    A = pi    r^2 = 3.1411 = 3.14 sq. cm ...... two circles' area = 6.28 sq.cm 
    Curved surface area = circumference length 
    .... circumference = pi    d = 3.14 2 = 6.28 cm ......... length = 15 
    curved surface area = 6.28    15 = 94.2 sq. cm 

    Add both for total surface area = 6.28 + 94.2 = 100.48 sq.cm 


    4. The bottom of a shopping bag measures 8 inches by 10 inches. The bag has a height of 12 inches. How much paper is needed to make the bag? (1 point) 
    two pieces of paper ... one for bottom = 810 = 80 sq.in 
    the other ... height     perimeter of the bottom = 12(2(10+8)) = 12 2 18 = 432 sq.in 
    Add both: 80 + 432 = 512 sq.in <<<<<<<<<<<

Answer:

\(3x+13\) units.

Step-by-step explanation:

We have been given that a square has a perimeter of \(12x+52\) units. We are asked to find the side length of the square in units.

We know that perimeter of a square is 4 times its side length. We can represent this information in an equation as:

\(4\times \text{Side of square}=12x+52\)

Now, we will divide both sides of our given equation by 4.

\(\frac{4\times \text{Side of square}}{4}=\frac{12x+52}{4}\)

\(\text{Side of square}=\frac{4(3x+13)}{4}\)

\(\text{Side of square}=3x+13\)

Therefore, the expression \(3x+13\) represents the side length of the square in units.

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