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4 years ago

A recreational court is three times as long as it is wide. If the perimeter is 224 ft, find the dimensions of the court?

Mathematics

1 answer:

ella [17]4 years ago

4 0

The dimensions of court are:

Length = 84 feet and Width = 28 feet

Step-by-step explanation:

Given

Perimeter of court = 224 ft

Let l be the length and w be the width

then

l = 3w

The formula for perimeter of rectangle is:

$P = 2(l+w)$

Putting the value

$224 = 2(3w+w)\\224 = 2(4w)\\224 = 8w$

Dividing both sides by 8

$\frac{8w}{8} = \frac{224}{8}\\w = 28$

Length:

$l = 3w\\l = 3*28\\l = 84 ft$

Hence,

The dimensions of court are:

Length = 84 feet and Width = 28 feet

Keywords: Perimeter, rectangle

Learn more about perimeter at:

#LearnwithBrainly

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