Six times a number is greater than 20 more than that number. What are the possible values of that number?
1 answer:
You might be interested in
Answer
Find out the original side length of the square .
To prove
Let us assume that the original length of the square be x.
Formula
As given
The dimensions of a square are altered so that 8 inches is added to one side while 3 inches is subtracted from the other.
Length becomes = x + 8
Breadth becomes = x -3
The area of the resulting rectangle is 126 in²
Put in the formula
(x + 8) × (x - 3) = 126
x² -3x + 8x -24 = 126
x ²+ 5x = 126 +24
x² + 5x - 150 = 0
x² + 15x - 10x - 150 = 0
x (x + 15) -10 (x +15) =0
(x + 15)(x -10) =0
Thus
x = -15 , 10
As x = -15 (Neglected this value because the side of the square cannot be negative.)
Therefore x = 10 inches be the original side of the square.
Answer:
<h2>2,268 square units</h2>Step-by-step explanation:
Step 1
Find the area of 1 Triangle
To find this, we will use this formula:
Let's use the formula!
<em>The area of 1 triangle is 189 square units</em>
<em></em>
Step 2
Find the area of the whole intire shape by multiplying the area of 1 triangle with the amount of sides.
There are 12 sides, so let's multiply 189 by 12
189x12=2268
<h2>Hence, the area of the regular polygon is 2,268 square units</h2>