Find the area of a regular hexagon
2 answers:
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Answer:
Option A. x + 3
Step-by-step explanation:
From the question given above, the following data were obtained:
Area (A) = x² + 2x – 3
Width (W) = x – 1
Lenght (L) =?
The area of a rectangle is given by:
Area (A) = length (L) × Width (W)
A = L × W
With the above formula, we can obtain the lenght of the rectangle as follow:
Area (A) = x² + 2x – 3
Width (W) = x – 1
Lenght (L) =?
A = L × W
(x² + 2x – 3) = L(x – 1)
Divide both side by (x – 1)
L = (x² + 2x – 3) / (x – 1)
Please see attached photo for explanation
L = x + 3
Thus, the length of the rectangle is x + 3
<h3><u>G</u><u>i</u><u>v</u><u>e</u><u>n</u>:-</h3>
I = a + (n - 1)d [Given formula]
<h3><u>T</u><u>o</u><u> </u><u>F</u><u>i</u><u>n</u><u>d</u>:-</h3>Find d when I = 10, a = 2, n = 5
<h2><u>S</u><u>o</u><u>l</u><u>u</u><u>t</u><u>i</u><u>o</u><u>n</u>:-</h2>I = a + (n - 1)d [Given]
Putting the value of I = 10, a = 2, n = 5 we get,
10 = 2 + (5 - 1)d
10 = 2 + 4d
10 - 2 = 4d
8 = 4d
d =
d = 2
<h3>Value of d is <u>2</u>. [Answer]</h3>