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Aleks04 [339]
3 years ago
6

Split 90 into two parts so tha one part is 4 times the other part

Mathematics
1 answer:
WINSTONCH [101]3 years ago
7 0

so, we'll end up with two parts, one being 4 times larger than the other, namely if the other is 1 slice, then the large part is 4 slices, meaning both parts will be on a 4:1 ratio.

well, simply enough, we can simply split 90 in (4+1) pieces, and then distribute accordingly to each part

\bf \cfrac{\textit{large part}}{\textit{small part}}\qquad \qquad \stackrel{ratio}{4:1}\qquad \cfrac{4\cdot \frac{90}{4+1}}{1\cdot \frac{90}{4+1}}\implies \cfrac{4\cdot 18}{1\cdot 18}\implies \boxed{\cfrac{72}{18}}

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The length and width of a new rectangle playing field are 214 yards and 52 yards respectively.

<h3>What is the area of the rectangle?</h3>

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

We have:

The length of a new rectangle playing field is 6 yards longer than quadruple the width.

Let's suppose the length is l and width is w of a rectangle:

From the problem:

l = 6 + 4w

Perimeter P = 2(l + w)

532 = 2(l + w)

Plug l = 6+4w in the above equation:

532 = 2(6 + 4w + w)

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l = 6 +4(52) = 214 yards

Thus, the length and width of a new rectangle playing field are 214 yards and 52 yards respectively.

Learn more about the area of rectangle here:

brainly.com/question/15019502

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