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17.02.2021 •
Mathematics
David used blocks to model the following situation. How can David use his model to find the number
of speedboats the dealer sells if it sells 24 fishing boats?
A boat dealer sells 3 fishing boats for every 2 speedboats it sells.
The model can be used like a bar diagram. Since the dealer sold 24 fishing boats, each block
represents fishing boats or speedboats. The dealer sells speedboats
Solved
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Ответ:
1. Width = x + 2
2. Length = 12; width = 9
3. x² + 7x + 10
4. 108
Step-by-step explanation:
perimeter = 4x + 14
length = x + 5
1. Perimeter of a rectangle = 2(length + width)
4x + 14 = 2{(x + 5) + width}
4x + 14 = 2x + 10 + 2width
4x + 14 - 2x - 10 = 2width
2x + 4 = 2width
Width = (2x + 4)/2
Width = x + 2
2. Perimeter of a rectangle = 2(length + width)
42 = 2{(x + 5) + (x + 2)}
42 = 2x + 10 + 2x + 4
42 = 4x + 14
42 - 14 = 4x
28 = 4x
x = 28/4
x = 7
length = x + 5
= 7 + 5
= 12
Width = x + 2
= 7 + 2
= 9
3. Area of the rectangle = length × width
= (x + 5)(x + 2)
= x² + 2x + 5x + 10
= x² + 7x + 10
4. Area of the rectangle = x² + 7x + 10
When x = 7
x² + 7x + 10
= 7² + 7(7) + 10
= 49 + 49 + 10
= 108