Alfonzo is building a deck on his house. He was originally going to make it a square with a side length of x x feet. Alfonzo decides to make it a rectangular deck, with 1 foot added to one pair of opposite sides (now the width) and 2 feet added to the other pair of opposite sides (now the length). Part A Determine the expressions for the length and width of the new deck in terms of x x, the length of the sides of the original deck.

Question

Calvin Schmidt

Mathematics

4 February, 01:12

Alfonzo is building a deck on his house. He was originally going to make it a square with a side length of x x feet. Alfonzo decides to make it a rectangular deck, with 1 foot added to one pair of opposite sides (now the width) and 2 feet added to the other pair of opposite sides (now the length). Part A Determine the expressions for the length and width of the new deck in terms of x x, the length of the sides of the original deck.

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Holly Larson · Answer 1

The length and width of the new deck in terms of x x are (x + 2) feet and (x + 1) feet respectively.

Step-by-step explanation:

Step 1:

The side length of the original deck in the shape of a square was x feet.

Since it was a square, all the sides would measure x feet.

Now, the square deck is converted into a rectangular deck.

Step 2:

The side length of the original deck was x feet. 1 foot of deck is added to the side length and it is made into the width of the rectangular deck.

So the width of the new deck is (x + 1) feet.

The side length of the original deck was x feet. 2 feet of deck is added to the side length and it is made into the length of the rectangular deck.

So the length of the new deck is (x + 2) feet.

So the length of the new deck is (x + 2) feet and its width is (x + 1) feet.