Answer:
2 1/3 ft^2
Step-by-step explanation:
Take the area of the rectangle
A = l *w
4 * 1 1/6
4 * 7/6
28/6
Divide this in half since the rectangle is cut in half by using the diagonal
28/6 *1/2
28/12
7/3
Changing to a mixed number
2 1/3
Simplifying
8x + 8y = 12
Solving
8x + 8y = 12
Solving for the variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-8y' to each side of the equation. 8x + 8y + -8y = 12 + -8y
Combine like terms: 8y + -8y = 0
8x + 0 = 12 + -8y
8x = 12 + -8y
Divide each side by '8'.
x = 1.5 + -1y
Simplifying x = 1.5 + -1y
One and 3/20 can't be simplified
Answer:
<h2>The lengths of the bases of the trapezoid:</h2><h2>
42/h cm and 84/h cm.</h2>
Step-by-step explanation:
The formula of an area of a triangle:
<em>b</em><em> </em>- base
<em>h</em> - height
We have <em>b = 21cm, h = 6cm</em>.
Substitute:
The formula of an area of a trapezoid:
<em>b₁, b₂</em> - bases
<em>h</em><em> - </em>height
We have <em>b₁ = 2b₂</em>, therefore <em>b₁ + b₂ = 2b₂ + b₂ = 3b₂</em>.
The area of a triangle and the area of a trapezoid are the same.
Therefore
<em>multiply both sides by 2</em>
<em>divide both sides by 3</em>
<em>divide both sides by h</em>
3 different pairs are...
0+1=1
-1+2=1
-2+3=1