Answer:
Assuming the length to be x and the width to be y.
Since the area is 64cm, hence
x*y = 64 (equation 1)
Since the perimeter is 40cm, hence
x + x + y + y = 40
2x + 2y = 40
2(x + y) = 2(20)
x + y = 20 (equation 2)
Hence by using simultaneous equation,
x = 20 - y (equation 3)
Substituting equation 3 into equation 1, we get
(20-y)*y=64
20y-y^2=64
Tidying up the equation,
y^2 - 20y + 64 = 0
By using factorisation,
(y-16)(y-4)=0
y=16 or y=4
By substituting y=16 into equation 1,
x*16=64
x = 4
By substituting y = 4 into equation 1,
x*4=64
x=16
Therefore,
The length is 4 cm while the width is 16 cm.
OR
The length is 16 cm while the width is 4cm.
Hope this helps!!
Your answer is 126 inches. You take 10.5 times 12 because there is 12 inches in a foot.
Answer:
Step-by-step explanation:
- Initial amount = 2112 g
- Time = 188 days
- Half-life = 47 days
188 days / 47 days = 4 periods
<u>Mercury left after 188 days:</u>
- 2112 * (1/2)^4 =
- 2112* 1/16 =
- 2112/16 =
- 132 g
Candy draws a square design with a side length of x inches for the window at the pet shop. She takes the design to the printer and asks for a sign that has an area of 16x2 – 40x + 25 square inches. What is the side length, in inches, of the pet shop sign?
Answer:
the length of the sign is 
inches
Step-by-step explanation:
Given
Area of the square of design = 
First we find the roots of equation 
The roots of the quadratic equation 
are given by
where 
That is, the factors of the polynomial are and .
So, Area of the square design = = 
Area of a square = Length^2
Thus, the length of the sign is inches
