If the length of a rectangle is a two-digit number with identical digits and the width is 1/10 the length and the perimeter is 2 times the area of the rectangle, what is the the length and the width
Solution:
Let the length of rectangle=x
Width of rectangle=x/10
Perimeter is 2(Length+Width)
= 2(x+x/10)
Area of Rectangle= Length* Width=x*x/10
As, Perimeter=2(Area)
So,2(x+x/10)=2(x*x/10)
Multiplying the equation with 10, we get,
2(10x+x)=2x²
Adding Like terms, 10x+x=11x
2(11x)=2x^2
22x=2x²
2x²-22x=0
2x(x-11)=0
By Zero Product property, either x=0
or, x-11=0
or, x=11
So, Width=x/10=11/10=1.1
Checking:
So, Perimeter=2(Length +Width)=2(11+1.1)=2*(12.1)=24.2
Area=Length*Width=11*1.1=12.1
Hence, Perimeter= 2 Area
As,24.2=2*12.1=24.2
So, Perimeter=2 Area
So, Answer:Length of Rectangle=11 units
Width of Rectangle=1.1 units
Same question and answer as yours!
V = 576 pi cm^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h where r is the radius and h is the height
V = pi * (6)^2 * 16
V = pi *36*16
V = 576 pi cm^3
Answer:
45 inches
Step-by-step explanation:
85-40=45
b=45
how I know?
use the formula c^2-a^2=b^2
85 being c, a being 40 and b being 45
Angle of elevation is 37°
<u>Step-by-step explanation:</u>
As we have the opposite side 75 ft to the angle and the hypotenuse 125 ft, we can find the sine value as,
sin θ = opp/ hyp
= 75/125
= 0.6
θ = sin⁻¹ (0.6) = 36.9°≈ 37°
So angle of elevation is 37°.
