Can someone please check my answers?
A yard has a square gate that has an area of 8 square meters.
1. What is the height of the gate in meters?
Answer: 28 meters
2.How many feet would that be?
Answer: 8.4 feet
3. If each side was 1 foot longer, what would be the area of the gate in square feet?
Answer: 88.36
Carry wants to frame a square picture, which has an area of 950 square inches.
4. How long is each side of the picture?
Answer: 30.61 inches
5.What is the perimeter of the frame?
Answer: 122.44 inches
6.She has another square picture with an area of 1200 square inches. How long is each side of this picture?
Answer: 34.6 inches
7. How much is that in centimeters?
Answer: 87.884
Sorry, yes I forgot the decimal in number 1.
On number 2, on my paper is says that 1 meter equals about 3 feet so I just multiplied 2.8 by 3 and got 8.4.
On number 3, would that now be correct because I have 2 correct?
On number 4, we had to estimate and not use a calculator
On number 7, should it be 87.98814?
With you answer to 2, 3 would be correct.
4. You don't have an "estimate" to two decimal places. An estimate is just a close guess. My "estimate" would be 30 or 31.
5. If 4 is correct, so is this.
7. right
Try mo sa google meron dun!!!!!!
1. For a square, area = height^2, so
height = √area. It needs to be < 3. Do you mean 2.8? The decimal point makes a big difference.
2. 1 meter = 3.28 feet, therefore 2.8m = ? ft
3. Wrong answer for 2 makes this wrong.
4. √950 ≠ 30.61
5. Wrong answer for 4 makes this wrong.
6. 3.4641 inches (Were you asked to round?)
7. 34.641 inches ≠ 87.884 cm
To check your answers, let's go through each question and explain how to arrive at the correct solution.
1. To find the height of the gate in meters, we need to solve for the side length of the square gate. Since the area is given as 8 square meters, we can use the formula for the area of a square, which is side length squared. Let's call the side length "s". So, we have the equation s^2 = 8. To find the value of s, we take the square root of both sides, giving us s = √8 ≈ 2.83. Therefore, the height of the gate is approximately 2.83 meters.
2. To convert the height of the gate from meters to feet, we can use the conversion factor that 1 meter is equal to 3.281 feet. So, we multiply the height of the gate (2.83 meters) by the conversion factor: 2.83 meters * 3.281 feet/meter ≈ 9.27 feet. Therefore, the height of the gate is approximately 9.27 feet.
3. If each side of the gate is 1 foot longer, the new side length would be s + 1. The area of the gate can be calculated using the formula (s + 1)^2. Plugging in the values, we get (2.83 + 1)^2 = 3.83^2 = 14.67 square feet. Therefore, the area of the gate would be approximately 14.67 square feet.
4. For the square picture with an area of 950 square inches, we need to find the side length. Using the formula for the area of a square (side length squared), we have s^2 = 950. Taking the square root of both sides, we get s = √950 ≈ 30.90 inches. Therefore, each side of the picture is approximately 30.90 inches long.
5. The perimeter of a square can be calculated by multiplying the length of one side by 4. For the given picture, the length of one side is approximately 30.90 inches. So, the perimeter would be 30.90 inches * 4 = 123.60 inches. Therefore, the perimeter of the frame is approximately 123.60 inches.
6. Given a square picture with an area of 1200 square inches, we can follow the same steps as in question 4 to find the side length. Using the formula s^2 = 1200, we have s = √1200 ≈ 34.64 inches. Therefore, each side of the picture is approximately 34.64 inches long.
7. To convert inches to centimeters, we can use the conversion factor that 1 inch is equal to 2.54 centimeters. Multiplying the length of the side in inches (34.64 inches) by the conversion factor, we get 34.64 inches * 2.54 centimeters/inch ≈ 87.88 centimeters. Therefore, the length of each side of the picture is approximately 87.88 centimeters.
Please double-check your calculations to ensure accuracy.