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almond37 [142]
3 years ago
8

The area of a rectangular playground is 16 square yards. the length of the playground is 4 times longer than its width. find the

length and width of the playground.
Mathematics
1 answer:
OLga [1]3 years ago
8 0
W= width
l= length= 4w

Area= lw
16 square yards= lw
substitute l=4w for l
16= (4w)(w)
16= 4w^2
divide both sides by 4
4= w^2
take the square root of 4
2 yards= w

LENGTH
l=4w
l=4(2)
l=8 yards

CHECK:
16= (8)(2)
16= 16

ANSWER: The length is 8 yards and the width is 2 yards.

Hope this helps! :)
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The surface area of the box is 448 square inches so that is the least amount of paper needed to cover the box.

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what is the slope of the line that passes through the points (4,4) and (10,7)? write your answer in simplest form
alexandr1967 [171]

Answer:

\boxed {\boxed {\sf m= \frac{1}{2}}}

Step-by-step explanation:

We are asked to find the slope of a line that passes through 2 points. The slope tells us the steepness and direction of a line. It is calculated using the following formula:

m= \frac {y_2-y_1}{x_2-x_1}

In this formula, (x₁ , y₁) and (x₂, y₂) are the points the line passes through. The points are (4,4) and (10,7). If we match the value and the corresponding variable we see that:

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Substitute the values into the formula.

m= \frac{7-4}{10-4}

Solve the numerator.

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m= \frac{3}{10-4}

Solve the denominator.

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m= \frac{3}{6}

This fraction can be reduced. Both the numerator and denominator can be divided by 3.

m= \frac{3/3}{6/3}

m= \frac{1}{2}

The slope of the line that passes through (4,4) and (10,7) is <u>1/2.</u>

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