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 a) The length of the mat is

Part b) The area of the mat is

Step-by-step explanation:

step 1

Find the length

Let

L-----> the length of the rectangle

W---> the width of the rectangle

we know that

The perimeter of rectangle is

so

----> equation A

-----> equation B

substitute equation B in equation A

solve for W

Find the value of L

step 2

Find the area

The area of rectangle is equal to

substitute the values

step-by-step explanation: h: (- 3, 6)

m: (1, - 2)

o: (7, 6)

r: (- 9, - 2)

midpoint of hm: (- 1, 2)

midpoint of or: (- 1, 2)

therefore, b is the midpoint of both diagonals bisect each other !

to prove the diagonals are perpendicular, show that the product of the slopes = - 1

step-by-step explanation: