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3 years ago

6

Maggie created this scale drawing of a soccer field, using a scale factor of 1 inch : 12 yards. She wants to make another scale

model of the same field, using a scale factor of 1 inch : 3 yards. Find the length and width of the new scale drawing.

1 answer:

larisa [96]3 years ago

7 0

The length and width of the new scale drawing is 36 inches and 24 inches respectively.

The given parameters:

<em>Original scale of the soccer field, 1 inch : 12 yards</em>

The original length and width of the soccer field is calculated as follows;

1 inch : 12 yards

original width = 6 x 12 yards = 72 yards
original length = 9 x 12 = 108 yards

For the new scale of 1 inch : 3 yards, the new length and width are represented as;

<em>the </em><em>new width</em><em>:</em>

$\frac{1 \ inch}{x} = \frac{3 \ yards}{72 \ yards} \\\\x = 24 \ inches$

<em>the </em><em>new length</em><em>:</em>

$\frac{1 \ inch}{x} = \frac{3 \ yards}{108 \ yards} \\\\x = 36\ inches$

Thus, the length and width of the new scale drawing is 36 inches and 24 inches respectively.

Learn more about scale drawing here:

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Vaselesa [24]

[ Answer ]

$\boxed{121}$

[ Explanation ]

$3x^{2}$ + 5x + 25

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Solve

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9 * 9 = 81

Insert Numbers

81 + 15 + 25

= 121

$\boxed{[ \ Eclipsed \ ]}$

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