Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Dec 10, 2023

Find the area of a parallelogram with $a=15 \mathrm{~cm}, b=20 \mathrm{~cm}, \mathrm{~h}=12 \mathrm{~cm}$ . Options: $180 \mathrm{~cm}^2$ , $300 \mathrm{~cm}^2$ , $140 \mathrm{~cm}^2$ , $240 \mathrm{~cm}^2$ .

STEP 1

Assumptions
1. The given lengths are $a=15 \text{ cm}$ (base), $b=20 \text{ cm}$ (side), and $h=12 \text{ cm}$ (height).
2. The area of a parallelogram is given by the formula $Area = base \times height$ .
3. The side length $b$ is not used in the formula for the area of a parallelogram.

STEP 2

We will use the formula for the area of a parallelogram to find the area.
$Area = base \times height$

STEP 3

Now, plug in the given values for the base $a$ and the height $h$ to calculate the area.
$Area = 15 \text{ cm} \times 12 \text{ cm}$

STEP 4

Calculate the area of the parallelogram.
$Area = 15 \text{ cm} \times 12 \text{ cm} = 180 \text{ cm}^2$
The area of the parallelogram is $180 \text{ cm}^2$ .

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