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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?

User Deckard
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1 Answer

6 votes

The length of each side of the tiles is 7.2 in

Step-by-step 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

User Yaroslav Lozynskyi
by
3.2k points