Question

Pleaase help with both questions ! PLease explain if you can!

Answer 1

Answer:

See below for answers to both questions.

Step-by-step explanation:

Question 13)

We know that the perimeter is the sum of all of the side lengths of the square, and we know that a square has 4 sides that are all the same length.  This lets us set up the following equation:

4(10x + 6) = 74

To solve this equation, we should first distribute the 4 through the parentheses using the distributive property.

40x + 24 = 74

Next, we should subtract 24 from both sides of the equation.

40x = 50

Finally, we should divide both sides by 40.

x = 50/40 = 1.25

Therefore, the answer to question 13 is x = 1.25.

Question 14)

If we know the rectangle and triangle have the same perimeter, we can set up the following equation:

2(4x-1) + 2(x-1) = (4x + 1) + (3x + 5) + (x + 1)

We should begin by simplifying the left side of the equation using the distributive property, as we did above.

8x - 2 + 2x -2 = 4x + 1 + 3x + 5 + x + 1

Next, we can combine like terms on both sides of the equation.  This means adding together the constant terms (numbers) and also combining the variable terms (x's).  This is modeled below:

(8x + 2x) + (-2 + -2) = (4x + 3x + x) + (1 + 5 + 1)

10x - 4 = 8x + 7

Next, we should subtract 8x from both sides.

10x - 8x - 4 = 8x - 8x + 7

2x - 4 = 7

Next, we should add 4 to both sides.

2x - 4 + 4 = 7 +4

2x = 11

Finally, we should divide both sides by 2.

x = 11/2 = 5.5

The question asks us to find the perimeter, so we can use the perimeter of the rectangle:

10x - 4 = 10(5.5) - 4 = 51

Therefore, the answer is 51 units.

Hope this helps!