Question

The width of a rectangle measures (8.4a + 7.5) centimeters, and its length measures (7.4a - 4.4) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?

Answer 1

The rectangle in question has been given with dimensions as follows;

Length = 7.4a - 4.4

Width = 8.4a + 7.5

The perimeter of a rectangle is derived as;

Perimeter = 2 [L + W]

Having been given the L and the W, we can now substitute for these into the formula shown above,

Perimeter = 2 [7.4a - 4.4 +8.4a + 7.5]

Perimeter = 2 [ 7.4a + 8.4a + 7.5 - 4.4]

Perimeter = 2 [15.8a + 3.1]

Perimeter = 31.6a + 6.2