Question

The width of a rectangle measures (6.9a+8.5)(6.9a+8.5) centimeters, and its length measures (3.8a+9.8)(3.8a+9.8) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?

Answer 1

P = (21.4a+36.6) cm

Explanation:

Given that,

The width of a rectangle, b = (6.9a+8.5) cm

The length of a rectangle, l = (3.8a+9.8) cm

We need to find the perimeter of the rectangle. Perimeter is the sum of all sides. So,

P = 2(l+b)

Put all the values,

P = 2(6.9a+8.5+3.8a+9.8)

= 2(6.9a+3.8a+8.5+9.8)

= 2(10.7 a+18.3)

= (21.4a+36.6)

So, the perimeter of the rectangle is (21.4a+36.6) cm.