A rectangular shaped desk has a length of 30 inches and a width of 24 inches. A desk with a similar shape has a length of 48 inches. What is the width of this desk?
24/30 = x/48
https://www.mathsisfun.com/algebra/cross-multiply.html
24/30 = x/40
24x40=960
30xX= 30x
30x=960 960/30=32
x = 32
To find the width of the second desk, we can use the concept of similar shapes.
Since the two desks have a similar shape, their corresponding sides are proportional.
So, we can set up a proportion using the length and width of the first desk and the length and width of the second desk.
The proportion can be set up as:
(length of first desk) / (width of first desk) = (length of second desk) / (width of second desk)
Plugging in the values we know:
30 inches / 24 inches = 48 inches / (width of second desk)
To solve for the width of the second desk, we can cross-multiply and solve for (width of second desk):
30 inches * (width of second desk) = 24 inches * 48 inches
720 inches = 24 inches * (width of second desk)
Divide both sides by 24 inches:
720 inches / 24 inches = (width of second desk)
The width of the second desk is 30 inches.
To find the width of the second desk, you can set up a proportion using the ratios of the lengths and widths of the two desks.
Let's call the width of the second desk "x".
The proportion can be set up as:
Width of first desk / Length of first desk = Width of second desk / Length of second desk
Substituting the given values:
24 inches / 30 inches = x / 48 inches
To solve for "x", you can cross-multiply and solve for it:
24 inches * 48 inches = 30 inches * x
1152 square inches = 30 inches * x
To isolate "x", divide both sides of the equation by 30 inches:
1152 square inches / 30 inches = x
Simplifying the result:
x ≈ 38.4 inches
Therefore, the width of the second desk is approximately 38.4 inches.