Question

A square has a perimeter of 12x + 52 units. Which expression represents the side length of the square in units?

Answer 1

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: 
2*W*L + 2*L*H + 2*L*W 
= 2*(W*L + L*H + L*W) 
= 2 * (2*3 + 3*4 + 4*2) 
= 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 = 6*x^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 = 3.14*1*1 = 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 = 8*10 = 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 2

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.