Question
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(3) The area of Leng's rectangular rug is 36 square feet. Which measurements could be the length and width of the rug? Choose all the correct answers. (A) length: 7 feet, width: 5 feet (i)) length: 9 feet, width: 4 feet (C) length: 10 feet, width; 3 feet (D) length: 12 feet, width: 3 feet (E) length: 24 feet, width: 12 feet

Ask by Crawford Harper. in the United States
Feb 28,2025

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Answer

The correct measurements are: - (i) length: 9 feet, width: 4 feet - (D) length: 12 feet, width: 3 feet

Solution

To determine if the measurements could be the dimensions of the rug, multiply the given length and width. The product must equal 36 square feet. A) 7 feet × 5 feet = 35 square feet → Not 36 (i)) 9 feet × 4 feet = 36 square feet → Valid C) 10 feet × 3 feet = 30 square feet → Not 36 D) 12 feet × 3 feet = 36 square feet → Valid E) 24 feet × 12 feet = 288 square feet → Not 36 The correct answers are (i)) and (D).

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To find the possible measurements of length and width for a rectangular rug with an area of 36 square feet, you need to multiply the length by the width. The correct combinations will satisfy the equation: length × width = 36. Going through the options: (A) 7 × 5 = 35 (not correct) (B) 9 × 4 = 36 (correct) (C) 10 × 3 = 30 (not correct) (D) 12 × 3 = 36 (correct) (E) 24 × 12 = 288 (not correct) So, the correct answers are (B) and (D)! To visualize this, think of any rectangular shape and how its area is calculated. When you multiply the length by the width, you essentially cover that space with little square units. It's like making a collage out of squares, ensuring that the total number of squares matches the area – how cool is that? Also, if you want to get into some DIY rug-making, understanding area can help you design a rug that perfectly fits your space. Whether it's a cozy nook or an expansive living room, knowing how to calculate area can turn you into a room design wizard. Want to make a statement rug in a specific spot? Just adjust those dimensions accordingly!

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