Answer:
Step-by-step explanation:
Answer:
100+100+100+100+100+10+10+10+10 = 540
100 = 10+10+10+10+10+10+10+10+10+10
400 + 100 + 10 + 10 + 10 _ 10
Step-by-step explanation:
Answer:
The dimensions of the rectangle are two unknowns: The length "l" and the width "w"
The perimeter of a rectangle is found as P = 2*l + 2*w
We also know that the length is 5cm more than twice the width. l = 2*w + 5
These two equations gives us a system of linear equations.
P = 2*l + 2*w
l = 2*w + 5
We can use substitution to replace the "l" in the first equation with 2*w + 5
P = 2*(2*w + 5) + 2*w
P = 4*w + 10 + 2*w
P = 6*w + 10
We know that P = 34cm
34 = 6*w + 10
Subtract 10 from both sides
24 = 6 * w
Divide both sides by 6
4 = w
Now that we know the width, we can find the length by substituting 4 for "w" in the second equation.
l = 2*4 + 5
l = 8 + 5
l = 13
The dimensions of the rectangle is 13cm x 4cm
Multpiply first equation by 3 and second by 5 to clear nasty faractions
-13x-6y=21
15x+2y=25
now see which ones we can clear
we can clear y
multiply second equation by 3 and add to the first equation
-13x-6y=21
<u>45x+6y=75 +</u>
32x+0y=96
32x=96
divide both sides by 32
x=3
sub back
15x+2y=25
15(3)+2y=25
45+2y=25
minus 45 from both sides
2y=-20
divide both sides by 2
y=-10
x=3
y=-10
(3,-10)
