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publish date2024/05/28 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.

sketch-board.gif

volume_mute

Correct Answer

$28\frac18$

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


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