Answer:
Dimensions are 20 X 44 feet
Step-by-step explanation:
First we need to build two equations:
For area X times Y = 880
For Perimeter 2x + 2y = 128
Now we need to solve one so we can substitute it into the other:
2x + 2y = 128 becomes
2x = 128 - 2y and then
x = 64 - y We will substitute this into the are equation
(64 - y)y = 880
64y - 
= 880
-
factor out the negative
-(
Factor:
-(y - 20)(y - 44) = 0
y-20 = 0 and y - 44 = 0
y = 20 and y = 44
Plugging these in two both of our formulas works
20 X 44 = 880 for area
2(20) + 2 (44) = 128 for perimeter
I got E and F. A would be correct as is I think, B is 9^2x, C, correct as is, D, is 9 ^2x, and E and F is 9^x
a² + 2ab + b² = (a+b) * (a + b) <span>pattern condensed multiplication</span>
x² + 10x + 25
a² + 2ab + b²
(1x)² + 2*1x*5 + (5)² = (a+b)*(a+b)
a=x 2ab= 10x b=5 = (x+5)*(x+5)
Answer : (x+5)*(x+5)
The width and area of the screen are 48.04 inches and 5279.11 inches² respectively.
Here we use Pythagorean theorem
d² = l² +w² -----1.
where
d = diagonal of the rectangle
l = length of the rectangle
w = width of the rectangle
d = 98inches (given)
l/w = 16/9
l =( 16/9)w ------2.
using these values in above equation we get
d² = l² +w²
(98)² = (16w/9)² + w²
9604 = 256 w²/81 + w²
9604 = 337 w²/81
777924 / 337 = w²
w² = 2308.379
w = 48.04inches
using value of w in equation 2 we get length
l =( 16/9)w
l =( 16/9) x 48.04
l = 109.89inches
area of screen (rectangle ) = l x w
= 109.89 x 48.04
= 5279.11 inches²
The width and area of the screen are 48.04 inches and 5279.11 inches² respectively.
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