Answer:
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Step-by-step explanation:
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Answer:
Option C. 4(20-16y): Each side measures 20-16y units.
Step-by-step explanation:
we know that
The perimeter of a square is equal to
where
b is the length side of the square
we have
substitute the given value in the formula
solve for b
Divide by 4 both sides
Rewrite the expression
<em>Alternative Method</em>
we have
Factor 4
so
Each side measures (20-16y) units.
Let h = height of triangle
h^2 + 12^2 = 15^2
h^2 + 144 = 225
h^2 = 225 - 144
h^2 = 81
sqrt{h^2} = sqrt{81}
h = 9 cm
For part B, we need to find surface area because it represents the perimeter of this 3-D figure. The formula needed is SA = B + LA.
1. First find the lateral area.
LA = perimeter of triangle • height
LA = ph
p = 15 + 15 + 24
p = 30 + 24
p = 54 cm
LA = (54)(9)
LA = 486 cm^2
2. We now find the base of each triangle. This is found by finding the area of each triangle and multiplying by 2.
A = (1/2)bh
A = (1/2)(24)(9)
A = 108 cm^2
A = 2•108 cm^2
A = 216 cm^2 = our B in the surface area formula.
SA = B + LA
SA = 216 cm^2 + 486 cm^2
SA = 702 cm^2
The amount of cardboard needed is 702 cm^2.
2 3/4 = 2.75
1 1/2 = 1.5
3 3.4 = 3.75
2.75 + 1.5 + 3.75 = 8
You hiked 8 miles last month in total.
