Answer:
310 inches²
Step-by-step explanation:
Given: A rectangular prism cage has a height of 28 inches.
Volume of prism is 8680 cubic inches.
We know the area of base of rectangular prism is equal to the area of rectangle.
∴ Lets find out the lenght and width of rectangular prism.
Volume of rectangular prism= 
Where, w is width
l is length
h is height.
Now, putting the value in the formula of volume.
⇒ 
cross multiplying
⇒ 
∴ wl= 310 inches²
As we need to find the area of the plastic mat on the bottom of the cage, which is rectangle in shape.
Area of rectangle= 
∴ Area of rectangle= 310 inches²
Hence, 310 inches² is the area of the plastic mat on the bottom of the cage.
Answer:
The smallest number is 88
Step-by-step explanation:
Let
x ----> the first consecutive even number
x+2 --->the second consecutive even number
we know that
The linear equation that represent this problem is given by

solve for x

so

therefore
The smallest number is 88
What do you need help with?
Answer:
x = 30
Step-by-step explanation:
The perimeter is the sum of all of the sides of a shape. Therefore, because the sum is equivalent to 104 inches and we are given the lengths of all three sides, we can add the three sides together and set them equal to 104 in order to solve for x.
(x + 3) + (x + 4) + (x + 7) = 104 Drop the parentheses.
x + 3 + x + 4 + x + 7 = 104 Combine like terms (variables first!).
3x + 3 + 4 + 7 = 104 Now, combine constant terms.
3x + 14 = 104 Subtract 14 from both sides.
3x = 90 Divide by 3 on both sides of the equation.
x = 30