You need to do this in several steps.
1) Using the given length and width of the rectangle, find its area.
2) Then using the base and height of the triangle, find its area.
3) Since the areas are equal, set the expressions equal to each other, and solve for x.
4) Using the value of x you found, find the length and width of the rectangle and find its perimeter.
1) The area of the rectangle is A = LW
Area of Rectangle = (x + 2)x = x^2 + 2x
2) The area of the triangle is A = (1/2)bh
Area of Triangle = (1/2)(24)x = 12x
3) Set the areas equal and solve for x
x^2 + 2x = 12x
x^2 - 10x = 0
x(x - 10) = 0
x = 0 or x = 10
Since a width cannot be 0, we discard x = 0, and keep x = 10.
4) The length is x + 2 = 10 + 2 = 12
The width is x = 10
The perimeter is 2(L + W) = 2(10 + 2) = 2(22) = 44
The perimeter is 44 cm.
Answer:
Mean = sum of all elements/number of elements
= (7.5 + 10.5 + 5 + 4.5 + 3.5 + 7.5 + 4 + 10 + 7.5 + 5)/10
= 6.5
=> Option C is correct
Hope this helps!
:)
Answer:
B
Step-by-step explanation:
The range is all numbers that Y can range from, so looking at the chart we can see that the highest value on the top of the curve that Y reaches is 4. Looking at the very start of the line and the very end of the line, you can see that -inf is definitely in the range of the y values. So, we can write it like this:
-inf<y<=4
which happens to be B
