Answer:
area of the original square = 36 in²
Step-by-step explanation:
given data
one side is increased = 9 inches
other side is decreased = 2 inches
area of the resulting rectangle = 60 in²
solution
we consider here x as the length of any one side
and
longer side of the resulting rectangle = x + 9
and
the shorter side x - 2
so that area of this rectangle is (s+9) × (s-2) = 60 in²
standard form of equation is x² + 7x - 18 = 60 .....................1
it will be
x² + 7x - 78 = 0
(s+13) (s-6) = 0
so that here x = -13
and x = 6
here we Discard x = -13 because the side length cannot be negative.
so x = 6
and area of the original square = 36 in²
Answer:
It could be either of two ways:
8
x
+
9 or 8
(
x
+
9)
C=

d.
If 5m is the radius, then multiply it by 2, then multiply it by

.
If 5m is the diameter, then just multiply it by only

.
<u>Answer</u>:
the length of chicken coop and the garden is of 40 feet.
<u>Explanation</u>:
Given that the garden is the length of the chicken coop, equal length
→ 3x + 12 = 6x – 16
→ 3x - 6x = -16 - 12
→ -3x = -28
→ 
→ 
→ x = 9.33 feet.
- The garden length = 3(
) + 12 → 40 feet - the chick coop length should be same as the garden length.
Answer:
Find below the calculations of the two areas, each with two methods. The results are:


Explanation:
<u>A) Method 1</u>
When you are not given the height, but you are given two sides and the included angle between the two sides, you can use this formula:

Where,
is the measure of the included angle.
1. <u>Upper triangle:</u>

2. <u>Lower triangle:</u>

<u></u>
<u>B) Method 2</u>
You can find the height of the triangle using trigonometric properties, and then use the very well known formula:

Use it for both triangles.
3. <u>Upper triangle:</u>
The trigonometric ratio that you can use is:

Notice the height is the opposite leg to the angle of 60º, and the side that measures 100 units is the hypotenuse of that right triangle. Then:


3. <u>Lower triangle:</u>
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<u />
<u />
<u />
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