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Mr. Hawk cuts a square matte board that is 15 1/2 inches on each side. He wants to cut an equal border that is 2 3/4 inches wide. What will be the dimensions of the square hole?

User SimonAlfie
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1 Answer

5 votes

To find each dimensions from the square hole, we would need to subtract TWICE of the border width from its original dimensions of the matte board.

Give:

Side length of the matte board = 15 1/2 inches

Border width= 2/34

To find the dimensions of the square hole, We would need to subtract TWICE of the border width from the side length of the matte board.

Length of the Square hole = Length of the matte board - 2* Border width

Width of the Square hole = Width of the matte board - 2* Border width

Converting the mixed numbers to just improper fractions:

Side length of the matte board = 31/2 inches

Border width = 11/4 inches

Calculation of the dimensions of the Square hole:

Length of the square hole = 31/2 inches - 2*11/4 inches

Width of the square hole = 31/2 inches - 2*11/4 inches

The final steps from this is to Simplify the calculations we have.

Length of the square hole = 31/2 inches - 22/4 inches = (31/2) - (11/2) = 20/2 = 10 inches

Width of the square hole = 31/2 inches - 22/4 inches = (31/2) - (11/2) (20/2) = 10 inches

As a result, the dimensions that mr Hawk cuts of the square hole would be 10 inches on each side.