A customer wants rhombus-shaped tiles for his countertops. The height is 3 inches and the area of each tile is 21.6 in. 2. What is the length of each side of the tiles?

The length of each side of the tiles is 7.2 in

Explanation:

Given:

Height of the tile, h = 3 in

Area of each tile, A = 21.6 in²

Length of each side, a = ?

We know:

A rhombus is a type of quadrilateral whose opposite sides are parallel and equal. Also, the opposite angles of a rhombus are equal and the diagonal intersect each other perpendicularly.

To find the area of a rhombus when the measures of its height and side length are given, use the formula

A = Base X height

21.6 in² = a X 3 in

a = 7.2 in

Therefore, the length of each side of the tiles is 7.2 in