Answer:
Step-by-step explanation:
A=2B
AreaA= Area of a rectangle=Base* height = base (12-x)*height(4) = 48-4x
AreaB = Area of rectangle=base(x) *Height(x) =x^2
Since A=2B
48-4x =2x^2
Divide both sides of the equation by 2
24-2x=x^2
Put everything all on one side
X^2-2x-24=0
(x+4)(x-6)=0
X=-4 and x=6
Only x makes sense since it’s not negative or else your base or one of your sides would be negative
So x=6
Answer:
38.6 cm
Step-by-step explanation:
add all of the sides up to get your perimeter
Answer:
width = w
length= 3w+1
perimeter= 5(3w+1) -45
perimeter = 2(l+b)
5(3w+1) -45 = 2{(3w+1)+w}
15w - 40 = 8w+2
6w = 42
w =7
therefore width = <u>7</u>
length= 3w+1 = <u>22</u>
perimeter= <u>65</u>
Step-by-step explanation:
Step-by-step Answer:
AN is height, so A is perpendicular to BC. (See image attached).
BN = 18
AN = 24
AC = 40
All as labeled.
ABN is a right triangle, with AB = sqrt(18^2+24^2)=sqrt(324+576)=30
ACN is a right triangle, with CN = sqrt(40^2-24^2)=sqrt(1600-576) = 32
=>
BC = BN + NC = 18 + 32 = 50
