Arectangular exercise mat has a perimeter of 36 feet. the length of the mat is twice the width. write and solve an equation to determine the length in feet of the mat. then find the area in square feet of the mat

Part 1) The length of the mat is

Part 2) The area of the mat is

Step-by-step explanation:

Part 1)

Let

x-----> the length of the math

y----> the width of the math

we know that

The perimeter of a rectangle is equal to

we have

so

------> equation A

------> equation B

substitute equation B in equation A and solve for y

Find the value of x

Part 2) we know that

The area of a rectangle is equal to

we have

substitute the values

step-by-step explanation: you take each of the numbers and divide by the amount then you take the range

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10