The area of the rectangle is 105 cm², the length is 8 cm more than the width. Find the sides of the rectangle.

Given: S (area) = 105 cm².
Let’s denote the unknown value of the width by X.
Then, b (width) = X.
a (length) = X + 8. (By condition, the length is more than width by 8 centimeters).
Find: the sides of the rectangle.
Solution: in order to find the sides, you need to apply the formula for finding the area. Area is the product of width and length.
We get: S = a * b.
Substitute: 105 = X + X + 8.
2X = 105 – 8.2X = 97. X = 97: 2.X = 48.5 cm – width.
48.5 + 8 = 56.5 cm – length.
Answer: 48.5 cm; 56.5 cm.