Question

Need halp thanks y’all

Answer 1

Answer:

24 = 10x-6

x=3

width =3 inches

length 9 inches

Step-by-step explanation:

Rectangle A

P =2(l+w)

P = 2(7+5)

   =2(12)

  =24

The perimeter of rectangle A is 24

Rectangle B

P =2(l+w)

P =2(x+4x-3)

Combine like terms

P = 2(5x-3)

Distribute

P =10x -6

We know the perimeter is 24

24 = 10x-6

Add 6 to each side

24+6 = 10x-6+6

30 =10x

Divide by 10

30/10 = 10x/10

3 =x

x=3

4x-3 = 4(3)-3 = 12-3 =9

The dimension are 3 by 9

width =3

length 9

Answer 2

Put all of these together because the opposite of one side is the same side as the other side and you want it to equal to 24 because in the instruction it says that both rectangle have the same perimeter.

To solve for x:

Combine like terms.

4x - 3 + 4x - 3 + x + x = 24

Add 6 on both sides to get the number and the variable separated.

10x - 6 = 24

      +6    +6

Divide 10 on both sides.

10x = 30

-----    ----

10       10

Getting the solution:

x = 3

Check (equation):

4(3) - 3 + 4(3) - 3 + 3 + 3 = 24

12 - 3 + 12 - 3 + 3 + 3 = 24

9 + 9 + 6 = 24

18 + 6 = 24

24 = 24

Check (rectangle):

4(3) - 3 = 9

9 + 9 + 3 + 3

18 + 6

24

Answer:

Equation would be 4x - 3 + 4x - 3 + x + x = 24 that you would need to solve.

x = 3

Length of Rectangle B: 9

Width of Rectangle B: 3