Answer:
4
Step-by-step explanation:
Answer:
516 cm squared
Step-by-step explanation:
To find the surface area of a rectangular prism such as this, is basically just like finding the OUTSIDE surfaces. We are looking for the "perimeter" of a 3D shape.
How do we do it?
- Calculate each face of the prism by multiplying Length x Width.
- Make a shortcut by combining like-figures (front of the cube and back of the cube are the same surface areas, etc.)
- Make your formula
- 2(4 · 15) + 2(10 · 15) + 2(12 · 4)
The Expression for the Area a of the rectangle as a function of length L is given by A(L) = 12L - L^2 .
Let,
length, L, and the width, W, are components that help determine the area, A, and the perimeter, P of the rectangle. These are given by the following equations
A=LW
P=2L+2W
Given,
Perimeter of the Rectangle = 24m.
We are asked to express the perimeter of the rectangle as a function of the length, L, of one of its sides.
We will first set up the equation of the Perimeter of the rectangle. We can let the width of the rectangle be W.
P = 2L+2W
24 = 2L+2W
12 = L+W
W = 12-L
Since we want to express the Area as a function of L, we have to find the value of W in terms of L. This is so we can eliminate the width in the equation for the Area. The Area as a function of L is as follows.
A(L, W) = LW
A(L) = L(12-L)
A(L) = 12L-L^2
Therefore, the Area as a function of L is given by A(L) = 12L-L^2.
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Answer:
y = x+1
Step-by-step explanation:
Slope-intercept form
(y = mx+b)
m = slope and b = y-intercept
The line crosses the y-axis at (0, 1), therefore the y-intercept (b) = 1
The slope (m) = 1
Because the slope is 1, it does not need to be written in the equation, as any number multiplied by 1 is that number.
Split this figure into 3 shapes: 2 triangles and 1 trapezoid
Area of top triangle = 1/2(7)(2) = 7 square units
Area of bottom triangle = 1/2(3)(7) = 10.5 square units
Area of trapezoid = 1/2(3 + 6)(4) = 18 square units
Area of the polygon = 7 + 10.5 + 18 = 35.5 square units