Answer:
450 m²
Step-by-step explanation:
Let x = length of rectangle and y = width of the rectangle.
Therefore,
2x + y = 60...............(1)
Making y subject of the formula, we have:
y = 60 - 2x............... (2)
We know area of a rectangle is length * width i.e A = x*y
Let's substitute (60-2x) for y,
A = x * (60-2x)
= 60x - 2(x)²
= -2x² + 60x
-4x + 60 = 0
-4x = -60
Let's substitute 15 for x in equation 2, we have:
y = 60 - 2(15)
= 60 - 30
y = 30
Since x = 15 & y = 30, the area would be:
A = xy
A = 15 * 30
A = 450 m²
The maximum area of the dog pen is 450m²
The answer is 2,-1 i hope this helps you out!
HOW TO SOLVE:
1) use x as a variable
2) the starting equation is:
4x + 3x + 5x = 18
3) add all the like terms on the left side of the equation:
12x = 18
4) Divide by 12 on both sides:
x=1.5
5) Find the lengths of the sides:
- 4x = 4(1.5) = 6
- 3x = 3(1.5) = 4.5
- 5x = 5(1.5) = 7.5
SO, the lengths of the sides of this triangle are: 6, 4.5, and 7.5
Answer:
264 ounces
Step-by-step explanation:
#Convert Xan weight into ounces:

Convert Katie's 88 pounds 11 ounce to ounces:

The difference is calculated by subtracting Xan's from Katie's:

Hence, the difference between the weights is 264 ounces