I FOUND YOUR COMPLETE QUESTION IN OTHER SOURCES.
PLEASE SEE ATTACHED IMAGE.
For this case the area is given by:
A = (22 + x) * (28 + x) = 722
Rewriting we have:
616 + 22x + 28x + x ^ 2 = 722
x ^ 2 + 50x + 616 - 722 = 0
x ^ 2 + 50x - 106 = 0
Solving the polynomial we have:
x1 = 2.04
x2 = -52.04
We take the positive root:
x = 2.04 inches:
Answer:
The width of the border to the nearest inch is:
x = 2inches
Answer:
20 in²
Step-by-step explanation:
Assuming that the width of the sign is x, then from the question, we're told that the length is 5 times it's width, so
b = x inches
l = 5x inches
Again, we're told that the perimeter of the sign is 24 inches, and we know already that the perimeter of a rectangle is given as
Perimeter = 2(l + b), substituting this, we have
24 = 2(5x + x)
24 = 10x + 2x
24 = 12x
x = 24 / 12
x = 2 inches.
Since x is the width of the rectangle, and it's 2 inches, we use it to find the length of the sign.
l = 5 * 2
l = 10 inches.
Then, we are asked to find the area of the sign. Area of a rectangle is given as
A = l * b, so if we substitute, we have
Area = 10 * 2
Area = 20 square inches
If RS is congruent to MN then the value of x in all the parts are 6,4, and 10.
Given RS is congruent to MN.
We are required to find the value of x if RS is congruent to MN.
Congruent lines are those lines whose lengths are equal to each other.
1) RS=x+10, MN=2x+4.
Because the congruent lines have equal lengths so , RS=MN.
x+10=2x+4
x-2x=4-10
-x=-6
x=6
2) RS=3x-2, MN=x+6
Because the length of lines are equal,so RS=MN.
3x-2=x+6
3x-x=6+2
2x=8
x=4
3) RS=5x-10, MN=2x+20
The lengths are equal so RS=MN.
5x-10=2x+20
5x-2x=20+10
3x=30
x=10
Hence if RS is congruent to MN then the value of x in all the parts are 6,4, and 10.
Learn more about congruent lines at brainly.com/question/28220245
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