Question

In rectangle ABCD, `AB=4x-1, BC=2x-5,` and `DC=3x+3`. What is the perimeter of rectangle ABCD?

Answer 1

For one thing, AB and DC must measure the same thing since they are parallel sides. We can now solve the resulting linear equation.

Explanation:

AB = DC

4x - 1 = 3x + 3

4x - 3x = 3 + 1

x = 4

Plugging in 4 for x:

`(4(4) - 1) + (2(4) - 5) + (2(4) - 5) + (3(4) + 3)`

= 15 + 3 + 3 + 15

= 36

The perimeter measures 36.

Practice exercise:

1. A square has an equal perimeter to a rectangle. If the square's area is `49 cm^2`, and the rectangle's width is two more than half its length. Find the area of the rectangle.