Answer: the width of the border is 2 inches.
Step-by-step explanation:
The formula for determining the area of a rectangle is expressed as
Area = length × width
Let x represent the width of the border.
The photo is printed on an 12-inch by 18-inch piece of paper. The width of the photo will be (12 - 2x) inches. The length of the paper will be (18 - 2x) inches.
The area of the paper would be
(18 - 2x)(12 - 2x)
The photo covers 112 square inches and has a uniform border. This means that
(18 - 2x)(12 - 2x) = 112
216 - 36x - 24x + 4x² = 112
4x² - 60x + 216 - 112 = 0
4x² - 60x + 104 = 0
Dividing through by 4, it becomes
x² - 15x + 26 = 0
x² - 13x - 2x + 26 = 0
x(x - 13) - 2(x - 13) = 0
x - 2 = 0 or x - 13 = 0
x = 2 or x = 13
The only possible value for the width of the border is x = 2 inches
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Answer:
Number is yellow box=3
Step-by-step explanation:
We know this because the way we get that number is subtracting the two numbers above it, which is 8 and 5, which give us 3.
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Answer:
34.6 units
Step-by-step explanation:
The lenght of fencing required is the total distance between point A to B, B to C, C to D, and D to A. That is the distance between all 4 corners of the meadow.
The coordinates of the corners of the meadow is shown on a coordinate plane in the attachment. (See attachment below).
Let's use the distance formula to calculate the distance between the 4 corners of the meadow using their coordinates as follows:
Distance between point A(-6, 2) and point B(2, 6):
Let,
(nearest tenth)
Distance between B(2, 6) and C(7, 1):
Let,
(nearest tenth)
Distance between C(7, 1) and D(3, -5):
Let,
(nearest tenth)
Distance between D(3, -5) and A(-6, 2):
Let,
(nearest tenth)
Length of fencing required = 8.9 + 7.1 + 7.2 + 11.4 = 34.6 units
