The area of the label is 300 cm. The height of the label is 12 cm. What is the length of the label show working?

Question

Savannah Aguilar · Accepted Answer

#25# #units#

You can clearly see that the label is a rectangle

Use the formula for the area of the rectangle

#color(blue)(Area=l*h# #color(blue)(units#

Where

#l=l##eng##thandh=height#

#color(purple)( :.l*h=300#

We know that #h=12#

#rarrl*12=300#

Divide both sides by #12#

#rarr(l*cancel12)/(cancel12)=300/12#

#rarrl=300/12#

#color(green)(l=25#

Noah Atkinson · Answer

undefined To find the length of the label, we can use the formula for the area of a rectangle, which is length multiplied by height. Given that the area of the label is 300 cm² and the height is 12 cm, we can rearrange the formula to solve for the length.

$$ \text{Area} = \text{Length} \times \text{Height} $$

Given:
$$ \text{Area} = 300 \text{ cm²} $$
$$ \text{Height} = 12 \text{ cm} $$

We rearrange the formula to solve for length:
$$ \text{Length} = \frac{\text{Area}}{\text{Height}} $$

Substitute the given values:
$$ \text{Length} = \frac{300 \text{ cm²}}{12 \text{ cm}} $$

$$ \text{Length} = 25 \text{ cm} $$

So, the length of the label is 25 cm.

James Atkins · Answer

undefined To find the length of the label, divide the area (300 cm²) by the height (12 cm).

$$ \text{Length} = \frac{\text{Area}}{\text{Height}} = \frac{300 \text{ cm}²}{12 \text{ cm}} = 25 \text{ cm} $$