Math  /  Geometry

Questionwhere AA is the area, bb is the base length and hh is the perpendicular height. a) Rearrange the formula to make hh the subject.
Use your rearranged formula to calculate the perpendicular height of this parallelogram.

Studdy Solution

STEP 1

1. The formula for the area of a parallelogram is given by A=b×h A = b \times h .
2. We need to rearrange this formula to solve for h h .
3. The area A A of the parallelogram is 48cm2 48 \, \text{cm}^2 .
4. The base length b b of the parallelogram is 12cm 12 \, \text{cm} .

STEP 2

1. Rearrange the formula to solve for h h .
2. Substitute the given values into the rearranged formula.
3. Calculate the perpendicular height h h .

STEP 3

Rearrange the formula A=b×h A = b \times h to solve for h h :
h=Ab h = \frac{A}{b}

STEP 4

Substitute the given values into the rearranged formula:
h=Ab h = \frac{A}{b} =48cm212cm = \frac{48 \, \text{cm}^2}{12 \, \text{cm}}

STEP 5

Calculate the perpendicular height h h :
h=48cm212cm h = \frac{48 \, \text{cm}^2}{12 \, \text{cm}} =4cm = 4 \, \text{cm}
The perpendicular height of the parallelogram is:
4cm \boxed{4 \, \text{cm}}

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