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aidanw
03.04.2020 •
Mathematics
Monica is building a model of a soccer field that she is proposing being built by Hartford High School. In her model, the length is a certain number of inches and the width is 12 inches less than the length. The total area of the model is 45 square inches. What are the dimensions of the model?
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Ответ:
Length: 15 inches
Width: 3 inches
Step-by-step explanation:
Let'
L ----> the length of the model in inches
W ---> the width of the model in inches
we know that
The area of the model is given by the formula
we have
so
Remember that
the width is 12 inches less than the length
so
substitute equation B in equation A
solve for L
Solve the quadratic equation by graphing
using a graphing tool
The solution is L=15 in
see the attached figure
Find the value of W
substitute the value of L
therefore
The dimensions of the model are
Length: 15 inches
Width: 3 inches
Ответ:
Explanation: