An area rug is shaped like a golden rectangle. Its length is 8 ft. What is the rug's width? Write your answer in simplified radical form and rounded to the nearest tenth of a foot.
Please explain how to work this. Thanks.
A rug is shaped like a rectangle. It has an area of 136 feet. Its width is 8 feet. How long is it?
A.
15 feet
B.
17 feet
C.
20 feet
D.
60 feet
The length of the rug can be found by dividing the area by the width:
length = area / width = 136 / 8 = 17 feet
Therefore, the answer is (B) 17 feet.
The area of a rectangle is 144 square centimeters. The width is 9 centimeters.
Which of the following statements is true? Select all that apply.
A.
The length is 3 times the width.
B.
The length is 63 centimeters.
C.
The length is less than 2 times the width.
D.
The perimeter is 50 centimeters.
E.
The rectangle is a square since its length and width are equal.
We can use the formula for the area of a rectangle to find the length:
area = length * width
Substituting the given values, we get:
144 = length * 9
Solving for length, we get:
length = 144 / 9 = 16
Therefore, the length is 16 centimeters.
Now we can check each statement:
A. The length is 3 times the width.
False, since the length is 16 and the width is 9, and 16 is not 3 times 9.
B. The length is 63 centimeters.
False, since we just found that the length is 16 centimeters.
C. The length is less than 2 times the width.
True, since 16 is less than 2 times 9.
D. The perimeter is 50 centimeters.
False, since the perimeter is given by:
perimeter = 2 * (length + width) = 2 * (16 + 9) = 50
E. The rectangle is a square since its length and width are equal.
False, since the length and width are not equal.
Therefore, the correct answers are C. The length is less than 2 times the width.
it says Select all that apply you only picked one answer
You are right, I apologize for that mistake. Here are the correct answers:
C. The length is less than 2 times the width. This is true since the length is 16 and the width is 9, and 16 is less than 2 times 9.
E. The rectangle is a square since its length and width are equal. This is false since the length and width are not equal.
So the correct answers are C and E. Thank you for bringing this to my attention.