First you have to have the absolute value isolated so the 2 has to be divided. Then set up the two cases and solve.
Answer:
![\text{Area of the figure}=54\text{ unit}^2](https://tex.z-dn.net/?f=%5Ctext%7BArea%20of%20the%20figure%7D%3D54%5Ctext%7B%20unit%7D%5E2)
Step-by-step explanation:
Please find the attachment.
Let us divide our given image in several parts and then we will find area of different parts.
First of all let us find the area of our red rectangle with side lengths 6 units and 7 units.
![\text{Area of rectangle}=\text{Length*Width}](https://tex.z-dn.net/?f=%5Ctext%7BArea%20of%20rectangle%7D%3D%5Ctext%7BLength%2AWidth%7D)
![\text{Area of red rectangle part}=6\text{ units}\times 7\text{ units}](https://tex.z-dn.net/?f=%5Ctext%7BArea%20of%20red%20rectangle%20part%7D%3D6%5Ctext%7B%20units%7D%5Ctimes%207%5Ctext%7B%20units%7D)
![\text{Area of red rectangle part}=42\text{ units}^2](https://tex.z-dn.net/?f=%5Ctext%7BArea%20of%20red%20rectangle%20part%7D%3D42%5Ctext%7B%20units%7D%5E2)
Now let us find area of yellow triangle on the top of red rectangle. We can see that base of triangle is 6 units and height is 1 unit.
![\text{Area of triangle}=\frac{1}{2}\times \text{Base*Height}](https://tex.z-dn.net/?f=%5Ctext%7BArea%20of%20triangle%7D%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20%5Ctext%7BBase%2AHeight%7D)
![\text{Area of triangle}=\frac{1}{2}\times \text{6 units *1 unit}](https://tex.z-dn.net/?f=%5Ctext%7BArea%20of%20triangle%7D%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20%5Ctext%7B6%20units%20%2A1%20unit%7D)
![\text{Area of triangle}=3\text{ unit}^2](https://tex.z-dn.net/?f=%5Ctext%7BArea%20of%20triangle%7D%3D3%5Ctext%7B%20unit%7D%5E2)
Let us find the area of green triangle.
![\text{Area of green triangle}=\frac{1}{2}\times \text{3 units *2 units}](https://tex.z-dn.net/?f=%5Ctext%7BArea%20of%20green%20triangle%7D%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20%5Ctext%7B3%20units%20%2A2%20units%7D)
![\text{Area of green triangle}=3\text{ unit}^2](https://tex.z-dn.net/?f=%5Ctext%7BArea%20of%20green%20triangle%7D%3D3%5Ctext%7B%20unit%7D%5E2)
Now we will find the area of blue triangle, whose base is 6 units and height is 2 units.
![\text{Area of blue triangle}=\frac{1}{2}\times \text{6 units *2 units}](https://tex.z-dn.net/?f=%5Ctext%7BArea%20of%20blue%20triangle%7D%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20%5Ctext%7B6%20units%20%2A2%20units%7D)
![\text{Area of blue triangle}=6\text{ units}^2](https://tex.z-dn.net/?f=%5Ctext%7BArea%20of%20blue%20triangle%7D%3D6%5Ctext%7B%20units%7D%5E2)
Let us add all these areas to find the area of our figure.
![\text{Area of the figure}=42\text{ units}^2+3\text{ unit}^2+3\text{ unit}^2+6\text{ unit}^2](https://tex.z-dn.net/?f=%5Ctext%7BArea%20of%20the%20figure%7D%3D42%5Ctext%7B%20units%7D%5E2%2B3%5Ctext%7B%20unit%7D%5E2%2B3%5Ctext%7B%20unit%7D%5E2%2B6%5Ctext%7B%20unit%7D%5E2)
![\text{Area of the figure}=(42+3+3+6)\text{ unit}^2](https://tex.z-dn.net/?f=%5Ctext%7BArea%20of%20the%20figure%7D%3D%2842%2B3%2B3%2B6%29%5Ctext%7B%20unit%7D%5E2)
![\text{Area of the figure}=54\text{ unit}^2](https://tex.z-dn.net/?f=%5Ctext%7BArea%20of%20the%20figure%7D%3D54%5Ctext%7B%20unit%7D%5E2)
Therefore, area of our given figure is 54 square units.
I gotchu
The perimeter is 35. If we were to change the width, which is one of the dimensions of the flower bed, The perimeter will change. This means that perimeter will no longer be 35. So in order to keep the perimeter as it is, if we change one dimension, we must also change the other.
Let's solve for the length, using the formula to see how much the length changes from.
p = 2l + 2w
35 = 2l + 2(15)
35 = 2l + 30
5 = 2l
2.5 = l
We must increase the length from 2.5 feet. This is because decreasing one dimension will decrease the perimeter. But if we increase the other dimension as well, it will restore the perimeter to where is was initially.
Answer:
5300
Explination:
3 × (10 × 10) + 5 × (10 ×10 × 10) = 5300
oder of operation, this is the order you do an equation.
Brakets first ( )
Exponets 'power of'
Devision ÷
M multiplication ✖
A addition ➕
S subtraction ➖
Answer:
3
Step-by-step explanation:
Toda la futura variación de pizzas se ha elaborado con cuatro ingredientes distintos: la base, la salsa, el queso y la cobertura. Pero, dado que no hay cobertura, la respuesta sería 3.
-LavenderVye