Question

A) Write an Equation B) Solve it
The perimeter of the rectangle is 78 feet. Find it's dimensions if the length is 2x-4 and the width is 2x+3 (I'LL FAN AND MEDAL)

Answer 1

The formula for the perimeter of a rectangle is P = 2L + 2W, right? They give you the length as 2x-4 and the width as 2x+3. They also give you the perimeter as 78. So fitting all that info into our equation, we get
78 = 2(2x-4) + 2(2x+3)
78 = 4x - 8 + 4x + 6
78 = 8x - 2
80 = 8x
10 = x

Answer 2

Now we use the fact that x = 10 and find the length and the width with it. Like this:
L = 2x - 4---> L = 2(10) - 4---> L = 20-4---> L = 16
W = 2x + 3---> W = 2(10) + 3---> W = 20 + 3---> W = 23