Answer:
w = 6
Step-by-step explanation:
Givens
Area = 90
Let the width = w
Let the length = 2w + 3
Formula
Area = L * W
Solution
Area = (2w + 3)*w
Area = (2w + 3)* w = 90 Remove the brackets.
Area = 2w^2 + 3w = 90 Subtract 90 from both sides.
2w^2 + 3w - 90 = 0
This will factor into
(w - 6)(2w + 15) = 0
Only w - 6 will = a zero that makes sense when speaking of an area
w - 6 = 0
w = 6
L = 2*w + 3
L = 2*6 + 3
L = 15
The width is 6
Answer:
since the total amount of wire is not given, I looked for a similar question:
- you have 800 yards of wire at your disposal
since we need to only calculate 3 sides of the land plot, our perimeter will be:
L + 2W = 800
area = L x W
L = 800 - 2W
now we replace:
area = (800 - 2W) x W = 800W - W²
we can write a quadratic equation:
area = -W² + 800W
the vertix of W = -b/2a
the coefficients of our quadratic equation are: -2 and 8
the vertix of W = -800 / (2 x -2) = -800 / -4 = 200 yards
width = 200 yards
length = 800 - (200 x 2) = 400 yards
maximum area enclosed = 200 x 400 = 80,000 sq yards
Answer:
35/8 reduced is 4 3/8
Step-by-step explanation:
just subtract 7 7/8 and 3 1/2 to get 35/8 and reduce it to 4 3/8
Answer:
Comparing each pair of lines,
AB and EF,
BC and FG,
CD and GH,
DA and HE.
For, AB and EF,
If we take a look at both the lines they are the mirror image of each other, the distance between point A and B is 1 unit upwards, and 2 unit sidewise, similarly between point E and F the distance is 1 unit upwards, and 2 unit sidewise. therefore, the length of both the lines is the same.
Also, we can use the formula, for the distance between two points on a coordinate plane,
,
As we can see in the image,
A = (-1, 1),
B = (-3, 2),
C = (-4, 4),
D = (-2, 6),
E = (2, 0),
F = (4, 1),
G = (5, 3),
H = (3, 5),
Solving using the formula,
AB = EF = √5,
BC = FG = √5,
CD = GH = √8,
DA = HE = √26,
Therefore, the length of all the sides of the polygon are the same,
Hence, the two figures are congruent.
Step-by-step explanation:
