Question

If a rectangle has a perimeter of 70, a length of x and a width of x - 9, find the value of the length of the rectangle.

Answer 1

The perimeter of a rectangle can be found by adding the lengths of all sides together. Therefore, for this rectangle:

Perimeter = 2(length + width)

Substituting the given values:

70 = 2(x + x - 9)

Simplifying:

70 = 4x - 18

Adding 18 to both sides:

88 = 4x

Dividing by 4 on both sides:

22 = x

So the length of the rectangle is x = 22.