A rectangular playground has an area of 3,392 square meters.If the width of the rectangle is 32 meters,find the length.

Verified Answer :

The answer is 106 meters. You need to do 3,392 meters divided by 32 meters.

(Length * Width = Area)
(Length = Area / Width)

The length of a playground = 106 meters

Further explanation

The playground is a rectangular shape. There are several properties possessed by rectangular shapes, namely:

    1. each angle is equal and is a right angle

  • 2. the diagonals intersect and divide each other equally
  • 3. sides facing the same length

There are two rectangular shapes namely square and rectangle


Square if all sides are the same length


The formula used in rectangular is:


  • 1.Area

Rectangle


\(\large{\boxed{\bold{Area=w\:\times\:l}}}\)


w = width


l = length


Square


\(\large{\boxed{\bold{area=a^2}}}\)


a = length of side

    1. perimeter

Rectangle


\(\large{\boxed{\bold{perimeter=2\times(w+l)}}}\)


w = width


l = length


Square


\(\large{\boxed{\bold{perimeter=4\times\:a}}}\)


a = length of side


A rectangular playground has an area of 3,392 square meters

\(A=3,392\:m^2\)


\(\large{\boxed{\bold{Area=w\:\times\:l}}}\)

\(3,392\:m^2=32\:meters\times\:l\)

\(\displaystyle l=\frac{3,392}{32}\)

\(\boxed{\bold{l=106\:meters}}\)

Learn more

The ratio of the perimeters

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The coordinates of the vertices of a rectangle

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Solve the equation for w

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