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Annette [7]
2 years ago
13

A rectangle has an area of 72 in². The length and the width of the rectangle are changed by a scale factor of 3.5.

Mathematics
2 answers:
yuradex [85]2 years ago
5 0

Answer:

Area of the rectangle(A) is given by:

where, l is the length and w is the width of the rectangle.

As per the statement:

A rectangle has an area of 72 in²

⇒A = 72 in²

then;

It is given that:

The length and the width of the rectangle are changed by a scale factor of 3.5.

Length of new rectangle become = 3.5l

Width of new rectangle become = 3.5 w

then;

Area of new rectangle  = (Length of new rectangle)(Width of new rectangle)

⇒Area of new rectangle = (3.5l)(3.5w) =12.25(lw)

Substitute the given values we have;

Therefore, the area of the new rectangle is, 882 in²

nydimaria [60]2 years ago
4 0

Answer:

the area of the new rectangle is 882 in^2

Step-by-step explanation:

Area of new rectangle = (3.5l)(3.5w) = 12.25

12.25 x 72 = 882

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The answer
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3 years ago
3/7 of 8th graders play sports. is 3/5 of the 8th graders that play sports are boys, what fraction of the 8th graders are boys
Svetach [21]

Answer:

\dfrac{9}{35} is the fraction of 8th graders who are boys.

Step-by-step explanation:

Let total number of 8th graders = x

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\Rightarrow 8th graders who play sports = \frac{3}{7} \times x

Also, Given that, \frac{3}{5} of 8th graders that play sports are boys

Number of 8th graders that play sports, and are boys = \frac{3}{5} \times \text{Number of 8th graders who play sports}

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\dfrac{9}{35} is the fraction of 8th graders who are boys.

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