OK. I did it, and I have the solution.
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The length of the deck is (5 + 2x) .
The width of the deck is (4 + 2x) .
If the deck didn't have that big hole in the middle where the pool is,
then its area would be
(5 + 2x) · (4 + 2x) .
When you multiply that all out, you get Area = 4x² + 18x + 20
and the question tells us that the area of the whole big rectangle is 90 yds² .
So we can write
4x² + 18x + 20 = 90 .
Subtract 90 from each side: 4x² + 18x - 70 = 0
Divide each side by 2 : 2x² + 9x - 35 = 0
You can use the quadratic equation to solve that and find out that
x = 2.5 yards, and that's what the question is asking you.
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That makes the deck 10 yds high and 9 yds wide.
Total area of the whole big rectangle, (deck + pool ), = 90 yds².
3 packages because you'll have 15 beads left over. which would complete the use of the packages
The area of a shape is the amount of space a shape can occupy, while the perimeter is the sum of its lengths.
- <em>The perimeter is </em>
<em>units</em> - <em>The area of the sanctuary is 27 square units</em>
We have:

<u>Perimeter</u>
See attachment for the layout of the sanctuary



From the attachment, the sides are
<em>AB, BF, FC, CD, DE and EA</em>
Start by calculating the length of each side using the following distance formula:

So, we have:






So, the perimeter (P) is:



<em>Hence, the perimeter is </em>
<em>units</em>
<u />
<u>Area</u>
To calculate the area, we need to divide the sanctuary into three.
- <em>Triangle ABF</em>
- <em>Triangle EFA</em>
- <em>Trapezium CDEF</em>
The area of ABF is:

Where:




The area of EFA is:

Where:


So:


The area of CDEF is:

Where



So, we have:



So, the area of the sanctuary is:




<em>Hence, the area of the sanctuary is 27 square units</em>
Read more about areas and perimeters at:
brainly.com/question/11957651