The lateral area is 117 square centimeters and the surface area is 292.72 square centimeters
<h3>How to determine the
lateral area?</h3>
The given parameters are:
- Base length (b) = 6
- Slant height (l) = 13
The lateral area is calculated using:
Lateral = 0.5 * (Perimeter of base) * Slant height
This gives
Lateral = 0.5 * (3 * 6) * 13
Evaluate
Lateral = 117
Hence, the lateral area is 117 square centimeters
<h3>How to determine the
surface area?</h3>
The surface area is calculated using:
Surface = l²√3
This gives
Surface = 13² * √3
Evaluate
Surface = 292.72
Hence, the surface area is 292.72 square centimeters
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X - shorter piece
3x - 2 - longer piece
x + 3x -2 = 18
x + 3x = 18 +2
4x = 20 | : 4
x=5
3*5 -2 = 15 - 2 = 13
shorter piece: 5 ft
longer piece : 13 ft
I hope this helps
The area of the portion of S lying outside R is 63xy
<h3>What is a Rectangle ?</h3>
A rectangle is a polygon with four sides , four angles and four vertices , It has opposite sides parallel and equal.
It is given in the question that
A rectangle R has width x and length y.
A rectangle S is formed from R by multiplying each of the sides of rectangle R by 8
Area of R is xy
Area of S is 8x * 8y = 64xy
The area of the portion of S lying outside = 64xy - xy = 63xy
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They are lines or planes that do not intersect.
Answer: 10^3
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