Question

The perimeter of the rectangle below is 64. Write and solve an equation

for x.
4x-3
O x=65/11
O x=3
Ox=65/3
O x = 3.5
7x + 2

Answer 1

the value of x is 3.5.

Explanation:

To find the perimeter of a rectangle, we need to add up the lengths of all four sides. In the given rectangle, the lengths of the sides are 4x-3, 7x+2, 4x-3, and 7x+2. We can write this as:

Perimeter = (4x-3) + (7x+2) + (4x-3) + (7x+2)

Perimeter = 2(4x-3) + 2(7x+2)

Perimeter = 8x - 6 + 14x + 4

Perimeter = 22x

We are told that the perimeter is 64, so we can set up the equation 22x = 64 and solve for x.

22x = 64

x = 64 / 22

x = 3.5

Therefore, the value of x is 3.5.