Chris is making a table-top from some leftover tiles he has 9 tiles that measures 3 1/8 inches long and 2 3/4 inches wide what is the area he can cover with these tiles

77 ¹¹/₃₂ in²

The area that he can cover with these tiles is 77 ¹¹/₃₂ in²

Further explanation

To solve the above questions, we need to

recall some of the formulas as follows:

Area of Square = (Length of Side)²

Perimeter of Square = 4 × (Length of Side)

Area of Rectangle = Length × Width

Perimeter of Rectangle = 2 × ( Length + Width )

Area of Rhombus = ½ × ( Diagonal₁ + Diagonal₂ )

Perimeter of Rhombus = 4 × ( Length of Side )

Area of Kite = ½ × ( Diagonal₁ + Diagonal₂ )

Perimeter of Kite = 2 × ( Length of Side₁ + Length of Side₂ )

Let us now tackle the problem !

Given:

Number of Tiles = N = 9 tiles

Length of Tiles = L = 3¹/₈ inches

WIdth of Tiles = W = 2³/₄ inches

Unknown:

Total Area = A = ?

Solution:

Area of One Tile.

Area of Rectangle=Length×WidthArea of Rectangle=Length×Width

Area of Rectangle=318×234Area of Rectangle=381×243

Area of Rectangle=81932 in2Area of Rectangle=83219 in2

Total Area.

Total Area=Number of Tiles×Area of One TileTotal Area=Number of Tiles×Area of One Tile

Total Area=9×81932Total Area=9×83219

Total Area=771132 in2Total Area=773211 in2

Learn more