A parallelogram has sides 15 cm and 18 cm.
The height corresponding to a 15-cm base is 9 cm.
What is the height corresponding to an 18-cm base?
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step-by-step explanation please and thank you ^_^
The wording of this question is not clear
It does not say if the sides of 15 and 18 are the parallel sides, or if they are adjacent sides.
I must conclude that they are adjacent sides or else the height between them would be constant
area of ||gram is base x height
so
15(9) = 18h
h = 15(9)/18 = 7.5 cm
That is exactly how it was worded, which is why I was having trouble too...
Thanks a bunch, Reiny!
(^_^)
\_♥_/
Muchas Gracias mi amiga graciosa
To find the height corresponding to the 18-cm base of the parallelogram, you can use the formula for the area of a parallelogram:
Area = base × height
Given that the base is 15 cm and the corresponding height is 9 cm, you can rearrange the formula to solve for the height:
height = Area / base
First, calculate the area of the parallelogram using the given base and height:
Area = 15 cm × 9 cm = 135 cm²
Now, substitute the values into the formula to find the height corresponding to the 18-cm base:
height = 135 cm² / 18 cm
Simplify the expression by dividing:
height = 7.5 cm
Therefore, the height corresponding to the 18-cm base of the parallelogram is 7.5 cm.
To find the height corresponding to an 18-cm base of a parallelogram, we can use the formula for the area of a parallelogram.
The area of a parallelogram is given by the formula:
Area = base * height
Since we know the area remains constant, we can set up an equation using the given values. Let's call the height corresponding to the 18-cm base 'h'.
First, let's find the area of the parallelogram using the 15-cm base and the given height of 9 cm:
Area = base * height
Area = 15 cm * 9 cm
Area = 135 cm^2
Now, we can set up another equation using the 18-cm base and the height we are trying to find:
Area = base * height
135 cm^2 = 18 cm * h
To find the value of 'h', we can rearrange the equation and solve for 'h':
h = 135 cm^2 / 18 cm
h = 7.5 cm
Therefore, the height corresponding to an 18-cm base of the parallelogram is 7.5 cm.