The area of a parallelogram is \( 42 \mathrm{~cm}^{2} \). Its base is 6 cm . What is height?

To find the height of a parallelogram when you have the area and the base, you can use the formula for the area, which is: \[ \text{Area} = \text{base} \times \text{height} \] Given that the area is \( 42 \mathrm{~cm}^2 \) and the base is \( 6 \mathrm{~cm} \), you can rearrange the formula to find the height: \[ \text{height} = \frac{\text{Area}}{\text{base}} = \frac{42 \mathrm{~cm}^2}{6 \mathrm{~cm}} = 7 \mathrm{~cm} \] So, the height of the parallelogram is \( 7 \mathrm{~cm} \). --- Did you know that parallelograms are not just for math class? They pop up in the real world everywhere—from your smartphone's screen, which often uses parallelogram shapes, to the iconic design of some bridges! The concept of parallelograms helps engineers and architects create stable structures while ensuring aesthetic appeal. When calculating dimensions, a common mistake is to forget to keep the units consistent. If you mix centimeters with meters, your result could be wildly wrong! Always double-check that your base and area units match before diving into calculations. Keep an eye out for those sneaky details!