We appreciate your visit to A company offers blankets in two sizes twin and double The twin blanket is 24 inches longer than it is wide The double blanket has. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
The equation that can be used to determine the area of the double blanket is:
D = [tex]W^2 + 24W + 1,260[/tex]
Variable we are using here are as follows
W: Width of twin blanket (inches), L: Length of both blankets (inches), D: Area of double blanket (square inches)
We are given information about the sizes and areas of two blankets: the twin and the double. We need to find an equation to determine the area of the double blanket.
Identifying variables: We need to define variables to represent the dimensions of the blankets. Let:
W: Width of the twin blanket (in inches)
L: Length of the twin blanket (in inches) (same for both blankets)
D: Area of the double blanket (in square inches)
Relating variables: We know that the twin blanket is 24 inches longer than it is wide, so:
L = W + 24
Area of the twin blanket: The area of a rectangle is calculated by multiplying its length and width. So, the area of the twin blanket (T) is:
T = W × L = W × (W + 24)
Difference in area: We are also given that the area of the twin blanket is 1,260 square inches less than the area of the double blanket. This can be expressed as:
D - T = 1,260
Substituting expressions: We can substitute the expression for the twin blanket area (T) into the equation for the difference in area:
D - (W × (W + 24)) = 1,260
Simplifying and rearranging: Expanding the parentheses and rearranging the equation to isolate D, we get:
D = [tex]W^2 + 24W + 1,260[/tex]
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