Toys
publish date: 2024/05/28 21:21:00 UTC
The dimensions of the rectangular-shaped screen of an Etch-a-Sketch are shown in the illustration below. Find the area of the screen.
Correct Answer
Explanation
To find the area, we will multiply \(6\frac14\) by \(4\frac12\).
The formula for the area of a rectangle is Area = length • width
This is the formula for the area of a rectangle
$A = lw$
Substitute \(6\frac14\) for \(l\) and \(4\frac12\) for \(w\)
$= 6\frac14 \cdot 4\frac12$
Write \(6\frac14\) and \(4\frac12\) as improper fractions
$=\frac{25}{4} \cdot \frac92$
Multiply the numerators and denominators
$=\frac{25 \cdot 9}{4 \cdot 2}$
Since there are no common factors to remove, perform the multiplication in the numerator and in the denominator. The result is an improper fraction.
$=\frac{225}{8}$
Write the improper fraction \(\frac{225}{8}\) as a mixed number
$=28\frac18$
The area of the screen of an Etch-a-Sketch is \(28\frac18\) in.2
Reference
Mathematics for college students