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yulyashka [42]
2 years ago
13

A rectangular park has an area of 6 square miles. The width of the property is 3/8 the length of the property. What is the width

of the property?
Mathematics
1 answer:
Olegator [25]2 years ago
4 0
Area = width * length

if width = 3/8 length ⇒ length = 8/3 width

area = width * 8/3 width = 8/3 width² = 6

width² = \frac{6*3}{8} =  \frac{3 * 3}{4} =  \frac{9}{4}

width = \sqrt \frac{9}{4} =  \frac{3}{2}
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On a coordinate plane, parallelogram R S T U has points (negative 4, 4), (2, 6), (6, 2), and (0, 0). What is the area of paralle
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Answer:

The area of the parallelogram is;

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Step-by-step explanation:

The given parameters are;

The coordinates of the parallelogram RSTU = R(-4, 4), S(2, 6), T(6, 2), and U(0, 0)

We note that the area of a parallelogram = Base length × Height

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Therefore, the coordinates of the point 'V' is given by the simultaneous solution of the equations of \overline {SR} and \overline {VT}

The equation of the line \overline {SR} in point and slope form from the point 'R' and the slope 'm = 1/3' is given as follows;

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The coordinate at the point, V = (-1.6, 4.8)

The length of the line \overline {VT} = The height of the parallelogram = √((-1.6 - 0)² + (4.8 - 0)²) = 8/5·√10

The height of the parallelogram = 8/5·√10

The area of the parallelogram, A = Base length × Height

∴ A = 2·√(10) × 8/5·√(10) = (16/5) × 10 = 32

The area of the parallelogram, A =  32 square units.

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