Question

japhet is making small rectangular tiles for a mosaic. each tile has an area of 7 cm² and is 1 1/4 cm wide. how long is each tile? cm

Explanation:

Step1: Recall area formula

The area formula for a rectangle is $A = lw$, where $A$ is area, $l$ is length and $w$ is width. We need to find $l$, and we know $A = 7$ and $w=1\frac{1}{4}=\frac{5}{4}$.

Step2: Rearrange formula for length

From $A = lw$, we can get $l=\frac{A}{w}$. Substitute $A = 7$ and $w=\frac{5}{4}$ into the formula, so $l=\frac{7}{\frac{5}{4}}$.

Step3: Calculate length

When dividing by a fraction, we multiply by its reciprocal. So $l = 7\times\frac{4}{5}=\frac{28}{5}= 5.6$.

Answer:

$5.6$