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Answer:
Lateral surface area of the storage shed = 336 ft²
Step-by-step explanation:
The picture is the complete question.
The shed is in the shape of a rectangular prism. The lateral surface area of the storage shed can be calculated below. The lateral area is the sides of the prism.
lateral area of a rectangular prism = 2h (l + w)
where
l = length
h = height
w = width
h = 8 ft
l = 14 ft
w = 7 ft
lateral area of a rectangular prism = 2h (l + w)
lateral area of a rectangular prism = 2 × 8 × (14 + 7)
lateral area of a rectangular prism = 16 (21)
lateral area of a rectangular prism = 336 ft²
Lateral surface area of the storage shed = 336 ft²
For this case we must write in algebraic symbology the expression described above:
We have an equation, then:
- x squared plus y squared:
- minus 2x plus 7y plus 1:
- equals zero:
We construct the equation:
Answer: