Answer:
a. 96 in²
Step-by-step explanation:
The surface area of the prism = the sum of the area of each part of the net shown
✔️Area of the 2 equal triangles = 2(½*b*h)
b = 4 in
h = 3 in
Area of the two triangles = 2(½*4*3) = 12 in²
✔️Area of the rectangle 1 with the following dimensions:
L = 7 in
W = 3 in
Area = L*W = 7*3 = 21 in²
✔️Area of the rectangle 2 with the following dimensions:
L = 7 in
W = 4 in
Area = L*W = 7*4 = 28 in²
✔️Area of the rectangle 3 with the following dimensions:
L = 7 in
W = 5 in
Area = L*W = 7*5 = 35 in²
✅Surface area of the prism = 12 + 21 + 28 + 35 = 96 in²
Answer:
f(w) = 3w + 2,000,000/w
Step-by-step explanation:
We know that the area of a rectangle is the product of its length and width:
A = LW
Filling in the given values lets us write an expression for the length of the field.
1,000,000 = Lw
L = 1,000,000/w
Since there are 3 fences of length w and two of length L, the total perimeter fence length is the sum ...
f(w) = 3w + 2(1,000,000)/w
Combining the constants, we have a function for the perimeter fence length in terms of the width of the field:
f(w) = 3w +2,000,000/w
It is true the relationship is proportional.
hope this helps!!
