Math

QuestionFind the missing base of the parallelogram with area A=576 cm2A=576 \mathrm{~cm}^{2} and height h=48 cmh=48 \mathrm{~cm}.

Studdy Solution

STEP 1

Assumptions1. The area of the parallelogram is576 cm². The height of the parallelogram is48 cm3. The formula for the area of a parallelogram is A=b×hA = b \times h, where AA is the area, bb is the base, and hh is the height4. We are looking for the base length of the parallelogram

STEP 2

We can use the formula for the area of a parallelogram to find the base. The formula is rearranged to solve for the base, bb.
b=Ahb = \frac{A}{h}

STEP 3

Now, plug in the given values for the area and height to calculate the base.
b=576cm248cmb = \frac{576\, cm^2}{48\, cm}

STEP 4

Calculate the base length.
b=576cm248cm=12cmb = \frac{576\, cm^2}{48\, cm} =12\, cmThe base length of the parallelogram is12 cm.

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