The 13-in. by 9-in. rectangle where the food listings fit has an area of 13 in. * 9 in. = 117 in.^2
Adding 48 in.^2 for the border, the total area of the menu with the border will be 117 in.^2 + 48 in.^2 = 165 in.^2
The border has to have uniform width around the menu. We need to find the width of the border. Let the border be x inches wide. Then since you have a border at each of the 4 sides, the border will add 2x to the length of the rectangle and 2x to the width of the rectangle. The menu will have a length of 2x + 13 and a width of 2x + 9. The area of the larger rectangle must by 165 in.^2. The area of a rectangle is length times width, so we get our equation:
(2x + 13)(2x + 9) = 165
Multiply out the left side (use FOIL or any other method you know):
4x^2 + 18x + 26x + 117 = 165
4x^2 + 44x + 117 = 165
4x^2 + 44x - 48 = 0
Divide both sides by 4.
x^2 + 11x - 12 = 0
Factor the left side.
(x + 12)(x - 1) = 0
x + 12 = 0 or x - 1 = 0
x = -12 or x = 1
The solution x = -12 is not valid for our problem because the width of a border cannot be a negative number. Discard the negative solution.
The solution is x = 1.
Answer: The border is 1 inch wide.
Check. Add 2 inches to the length and width of the food listings rectangle to get 15 inches by 11 inches. A = 15 in. * 11 in.= 165 in.^2. Now subtract the area of the border, 48 in.^2, 165 in.^2 = 48 in.^2 = 117 in.^2, and you get the area of the 13-in. by 9-in. rectangle. This shows that our solution is correct.
<span>This is correct. Data visualisation is done through the creation of graphs, which are simply visual representations of data that show relationships between variables. Bar graphs are a particular type of graph. Others include scatter graphs, line graphs and pie charts.</span>
The population of California = 
people.
Land area of California = 
.
We have to determine the average number of people per square kilometer.
Average number of people per square kilometer =
Land area of California 
Population of California
= 
= 
Therefore, the average number of people per square kilometer is .
It is represented in scientific notation as Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.
Given:
Dimensions of Kendra's yard are 24.6 feet by 14.8 feet.
To find:
The area of her yard.
Solution:
Let as consider,
Length of yard = 24.6 ft
Width of yard = 14.8 ft
We know that,
Area of a rectangle = Length × Width
Using the above formula, we get the area of her yard.
Area of her yard is 364.08 ft² and without including the units ft², we get 364.08.
Therefore, the area of her yard is 364.08.
perimeter = 2L+2w
from the problem L = 1/5w-2
so perimeter = 2(1/5w-2) +2w
= 2/5w-4 +2w
=12/5w-4
without seeing your choices it should be similar to this
