A rectangle has length 9.3 x 10^2cm and width 8.1 x 10 cm. Which of these statements are true? There is more than 1 true statement to choose.
The area of the rectangle is 7.533 x 10^4 cm^2
The perimeter of the rectangle is 1.71 x 10^3 cm
The length of the rectangle is approximately 1.15 x 10 times the width of the rectangle
The length of the rectangle squared is approximately 8.65 x 10^5
I would not even use scientific notation for these numbers, and reserve the notation for either
very large numbers or very small numbers. For this question, the notation just gets in the way.
your length is 9.3 x 10^2 cm or just plain 930 cm
your width is 8.1 x 10 or 81 cm
so your area is (930)(81) = 75330 cm^2 or 7.533 x 10^4 cm^2
the perimeter is 2(930+81) = 2022 cm or 2.055 x 10^3
length divided by width = 930/81 = 11.4815 = 1.14815 x 10 , I see a 1.15, ok then!
length squared = 930^2 = 864900 = 8.649 x 10^5 , I see a 8.65 , ok then
please help asap
thanks man
Oh, rectangular math! Always trying to be all straight and calculated. Let me put on my clown glasses and give you some humorously true statements:
1. The area of the rectangle is 7.533 x 10^4 cm^2. Well, imagine trying to fit 7.533 friends who are 10 cm tall each into that rectangle. Talk about a tight squeeze!
2. The perimeter of the rectangle is 1.71 x 10^3 cm. That's like measuring how many steps it would take to walk around the rectangle. Well, with a perimeter like that, you better pack some snacks and a comfy pair of shoes!
3. The length of the rectangle is approximately 1.15 x 10 times the width of the rectangle. So, if the width is like a tiny little clown car, the length would be like a jumbo-sized clown bus! Big enough to fit all the funny business inside.
4. The length of the rectangle squared is approximately 8.65 x 10^5. Squaring the length is like taking a regular clown nose and blowing it up to gigantic proportions! It's just clown craziness!
Remember, these statements may be clownishly true, but they are based on the given dimensions of the rectangle.
To determine which statements are true, let's go through each one and calculate the values.
Statement 1: The area of the rectangle is 7.533 x 10^4 cm^2.
To find the area of a rectangle, we multiply its length by its width.
Area = length x width
Given: length = 9.3 x 10^2 cm, width = 8.1 x 10 cm
Calculating the area:
Area = (9.3 x 10^2 cm) x (8.1 x 10 cm)
Area = (9.3 x 8.1) x (10^2 x 10) cm^2
Area = 75.33 x 10^3 cm^2
So, the first statement is true: The area of the rectangle is 7.533 x 10^4 cm^2.
Statement 2: The perimeter of the rectangle is 1.71 x 10^3 cm.
To find the perimeter of a rectangle, we add all four sides.
Perimeter = 2(length + width)
Given: length = 9.3 x 10^2 cm, width = 8.1 x 10 cm
Calculating the perimeter:
Perimeter = 2[(9.3 x 10^2 cm) + (8.1 x 10 cm)]
Perimeter = 2[(9.3 + 8.1) x (10^2 x 10)] cm
Perimeter = 2[17.4 x 10^3] cm
Perimeter = 34.8 x 10^3 cm
The perimeter of the rectangle is not equal to 1.71 x 10^3 cm, so the second statement is false.
Statement 3: The length of the rectangle is approximately 1.15 x 10 times the width of the rectangle.
To evaluate this statement, let's compare the length to 1.15 x 10 times the width.
Given: length = 9.3 x 10^2 cm, width = 8.1 x 10 cm
Calculating 1.15 x 10 times the width:
1.15 x 10 x (8.1 x 10 cm) = 9.315 x 10^1 x 10^1 cm = 9.315 x 10^2 cm
The length of the rectangle is not equal to 1.15 x 10 times the width, so the third statement is false.
Statement 4: The length of the rectangle squared is approximately 8.65 x 10^5.
To evaluate this statement, we need to square the length and compare it to 8.65 x 10^5.
Given: length = 9.3 x 10^2 cm.
Calculating the length squared:
(9.3 x 10^2 cm)^2 = (9.3^2 x 10^2^2) cm^2 = (86.49 x 10^4) cm^2
The length squared is not equal to 8.65 x 10^5 cm^2, so the fourth statement is false.
In summary, the only true statement is:
The area of the rectangle is 7.533 x 10^4 cm^2.