Leticia cuts a square out of a rectangular piece of paper, as shown below.The square Leticia cut out has a side length of 4 cm.Which of these expressions gives the area of Leticia's piece of paper after cutting out the square?(34 ×\times× 14) −-− (4 ×\times× 4)(34 + 14) −-− (4 ×\times× 4)(34 −-− 14) + (4 ×\times× 4)(30 ×\times× 10) + (4 ×\times× 4)
Question
Leticia cuts a square out of a rectangular piece of paper, as shown below.The square Leticia cut out has a side length of 4 cm.Which of these expressions gives the area of Leticia's piece of paper after cutting out the square?(34 ×\times× 14) −-− (4 ×\times× 4)(34 + 14) −-− (4 ×\times× 4)(34 −-− 14) + (4 ×\times× 4)(30 ×\times× 10) + (4 ×\times× 4)
Solution
The correct expression that gives the area of Leticia's piece of paper after cutting out the square is (34 × 14) - (4 × 4).
Here's why:
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The area of the original rectangular piece of paper is given by the product of its length and width. In this case, it's 34 cm * 14 cm.
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The area of the square that Leticia cut out is given by the square of its side length. In this case, it's 4 cm * 4 cm.
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To find the area of the piece of paper after the square has been cut out, we subtract the area of the square from the area of the original rectangle. Hence, the expression is (34 × 14) - (4 × 4).
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