Part A.
The area of a triangle is given by the product of its base and the height relative to that base.
Since these triangles have the same base b and same height h, they have the same area.
Part B.
The area of a rectangle or parallelogram is given by the product of base and height. Since these figures have the same base and height, they have the same area.
Part C.
These figures have different shapes, so we can't affirm that they have the same area.
Part D.
The height shown in the image is not the height relative to side b, therefore we can't affirm that the triangles have the same area.
Answer:
|NT| = 25
Step-by-step explanation:
The four sides of this square all have the same length. Thus, 5x = 10x - 25, which, in turn, becomes 25 = 5x, giving us x = 5. The length of NT is 5(x), or |NT| = 25.
Answer:
50
Step-by-step explanation:
all angles must equal to 180
Answer: length of rectangular parking lot = 24 yards
Width of rectangular parking lot = 20 yards.
Step-by-step explanation:
Let L represent the length of the rectangular parking lot.
Let W represent the width of the rectangular parking lot.
The rectangular parking lot has a length that is 4 yards greater than the width. It means that
W = L - 4
The formula for determining the area of a rectangle is expressed as
Area = LW
The area of the parking lot is 480 square yards.. It means that
LW = 480- - - - - - - - - - 1
Substituting W = L - 4 into equation 1, it becomes
L(L - 4) = 480
L² - 4L = 480
L² - 4L - 480 = 0
L² + 20L - 24L - 480 = 0
L(L + 20) - 24(L + 20) = 0
L - 24 = 0 or L + 20 = 0
L = 24 or L = - 20
Since the length cannot be negative, then L = 24
W = L - 4 = 24 - 4
W = 20
Answer:
Step-by-step explanation:
