Question

claire is making a frame to display a drawing she made. the frame is 11\frac{1}{5} cm wide. the frame has a rectangular shape and an area of 560 cm². how tall is the frame?

Explanation:

Step1: Convert mixed - number to improper fraction

$11\frac{1}{5}=\frac{11\times5 + 1}{5}=\frac{56}{5}$ cm

Step2: Use area formula for rectangle

The area formula of a rectangle is $A = lw$, where $A$ is area, $l$ is length and $w$ is width. We know $A = 560$ cm² and $w=\frac{56}{5}$ cm. Solving for $l$ gives $l=\frac{A}{w}$.
$l=\frac{560}{\frac{56}{5}}$

Step3: Divide by a fraction

Dividing by a fraction is the same as multiplying by its reciprocal. So $l = 560\times\frac{5}{56}$.
$l = 50$

Answer:

50