Answer:
<u>244 ft²</u>
Step-by-step explanation:
Rectangle Base Area: 6•4=24
Rectangle Side Area: 8•10=80; 80•2(sides) = 160
Triangle Sides Area: (10•6=60); 60/2(area of triangle) = 30; 30•2(sides)=60*
*Technically can skip the divide by two and then multiply by two, since they cancel out*
(Area of Triangle Formula= 1/2bh)
Add areas together: 24+160+60= <u>244 ft²</u>
Answer:
10 square centimeters.
Step-by-step explanation:
The area of a rectangle=base*height. 5*2=10 square centimeters.
Answer:
![P=19y+15](https://tex.z-dn.net/?f=P%3D19y%2B15)
Step-by-step explanation:
Step one:
Given data
dimension of the rectangle
Width = 8y-1.5
Length = 1.5y+9
Required
The expression to represents the Perimeter
Step two:
the perimeter of a rectangle is expressed as
![P= 2L+2W\\\\P=2(1.5y+9)+2(8y-1.5)\\\\P=3y+18+16y-3\\\\](https://tex.z-dn.net/?f=P%3D%202L%2B2W%5C%5C%5C%5CP%3D2%281.5y%2B9%29%2B2%288y-1.5%29%5C%5C%5C%5CP%3D3y%2B18%2B16y-3%5C%5C%5C%5C)
collect like terms
![P=3y+16y+18-3\\\\P=19y+15](https://tex.z-dn.net/?f=P%3D3y%2B16y%2B18-3%5C%5C%5C%5CP%3D19y%2B15)
Answer:
no solution
Step-by-step explanation:
3(x – 2) + 1 ≥ x + 2(x + 2).
Distribute
3x – 6 + 1 ≥ x + 2x + 4
Combine like terms
3x -5 ≥ 3x +4
Subtract 3x from each side
-5 ≥ 4
This is never true so there is no solution
Answer:
(x , y) = (-2 , 1)
Step-by-step explanation:
multiply both sides by -1
sum the equations vertically to eliminate at least one variable
divide both sides by -8
substitute the value of y into the equation
now solve for x using that y=1