Question

The width of the rectangle below is 4x+5 feet and the length is 3x+3.5 feet. if the perimeter of the rectangle is 11x+35 feet, find the width of the rectangle

Answer 1

Let's start by finding the perimeter of the rectangle using the given information:

Perimeter = 2 * (Length + Width)

Given: Perimeter = 11x + 35
Length = 3x + 3.5
Width = 4x + 5

Substituting these values into the formula for perimeter:

11x + 35 = 2 * ((3x + 3.5) + (4x + 5))

Simplifying:

11x + 35 = 2 * (7x + 8.5)

11x + 35 = 14x + 17

Now, we can isolate x:

11x - 14x = 17 - 35

-3x = -18

Dividing both sides by -3:

x = 6

Now that we have the value of x, we can find the width of the rectangle:

Width = 4x + 5 = 4(6) + 5 = 24 + 5 = 29 feet

Therefore, the width of the rectangle is 29 feet.