In a square garden of 3-5 m- four flower beds were laid out as shown- The remaining area of the garden is 7-25 nbsp- m-2- If all flower beds are of same size find length of each if the breadth of each flower bed is 50 cm-

Area of garden =3.5 × 3.5 =12.25 m #178; Area of leftover part =7.25m #178; Let area of one flower bed be x. #160;Area of four equal fl ...

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Standard VII

Mathematics

Area of Square & Rectangle

In a square g...

Question

In a square garden of 3.5 m, four flower beds were laid out as shown. The remaining area of the garden is 7.25 $m^{2}$ . If all flower beds are of same size find length of each if the breadth of each flower bed is 50 cm.

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Solution

Area of garden $= 3.5 \times 3.5$
$= 12.25 m ²$

Area of leftover part $= 7.25 m ²$

Let area of one flower bed be $x .$
Area of four equal flower beds= $4 \times x$
$= 4 x$

Area of four equal flower beds $= (12.25 - 7.25) m ²$
$= 5.00 m ²$
So $, 4 x = 5 m ²$
$x = 5 / 4 m ²$

Now $,$ area of one flower bed $= x = 5 / 4 m ²$
Breadth of one flower bed $= 50 c m$
$= 50 / 100 m$
$= 0.5 m$

Area of flower bed $= l e n g t h \times b r e a d t h$
$=> 5 / 4 = l e n g t h \times 0.5$
$1.25 = l e n g t h \times 0.5$
$L e n g t h = 1.25 / 0.5$
$= 2.5 m$

Hence, this is the answer.

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In a square garden of 3.5 m, four flower beds were laid out as shown. The remaining area of the garden is 7.25 m2. If all flower beds are of same size find length of each if the breadth of each flower bed is 50 cm.

In a square garden of 3.5 m, four flower beds were laid out as shown. The remaining area of the garden is 7.25 $m^{2}$ . If all flower beds are of same size find length of each if the breadth of each flower bed is 50 cm.