Gena is working on her math project. She has trimmed the sides of a square cardboard by 7 decimeters. The area of the cardboard then has decreased by 81 square decimeters. What was the original length of a side of the cardboard?

1 Answer
Mar 1, 2018

2#sqrt(22)# or approx 9.381 decimeters

Explanation:

#sqrt(7+81)# = #sqrt(88)# = 2#sqrt(22)# or approx 9.381 decimeters

You add up all the areas to find the area of the square to get 88 square decimeters. Because the area of a square is #a^2# where a is the side length, we need to square root 88 to get the side length.