There’d be 4 more frames because he rolled 6 and 4+6 = 10
The perimeter of a figure is the distance all the way around the figure.
Area is how many units takes up the figure.
Example of perimeter: (attached)
Example of area: (attached, with squares in square)
In this case, the <em>area depends on the perimeter</em>. Count two sides of the rectangle. (Horizontal, and vertically.) Then write what the perimeter is for that. <u>Multiply</u> the two numbers and that will be your area.
Vertically, it is 11. Horizontally, it is 9. I would like you to try to see what to do next, if not, comment!
I hope this helped!
1. The problem says that the television has a rectangular shape. So, the formula for caculate the area of a rectangle is:
A=LxW
"A" is the area of the rectangle (A=3456 inches²).
"L" is the the length of the rectangle.
"W" is the width of the rectangle.
2. The <span>width of the screen is 24 inches longer than the length. This can be expressed as below:
W=24+L
3. Then, you must substitute </span>W=24+L into the formula A=LxW:
<span>
</span>A=LxW
<span> 3456=L(24+L)
3456=24L+L</span>²
<span>
4. The quadratic equation is:
L</span>²+24L-3456=0
5. When you solve the quadratic equation, you obtain:
L=48 inches
6. Finally, you must substitute the value of the length, into W=24+L:
W=24+L
W=24+48
W=72 inches
7. Therefore, the dimensions of the screen are:
L=48 inches
W=72 inches<span> </span>
13x - 6y = 2......multiply by 2
3x - 4y = -10....multiply by -3
------------------
26x - 12y = 4 (result of multiplying by 2)
-9x + 12y = 30 (result of multiplying by -3)
-----------------add
17x = 34
x = 34/17
x = 2
now sub 2 in for x into either of the original equations to find y
3x - 4y = -10
3(2) - 4y = -10
6 - 4y = -10
6 + 10 = 4y
16 = 4y
16/4 = y
4 = y
solution is (2,4)