Question

A farmer has a land of area 1225 m2. He fenced 225 m2of the land for Rose Garden. In the
remaining land he allocated minimum space to cattle shelter, such that the area of the left-out
land should be a perfect square for an Orchard. Find
[a] the length of the rose garden.
[b] the area and side of the Orchard.
[c] the area allotted for cattle?
pls do it quickly
ill award 100 points

Answer 1

Answer:

35

Step-by-step explanation:

Area = Side²

Side = √1225

Side = 35

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Answer 2

Given: Area of a land= 1225 $m^{2}$

           Area of rose garden= 225 $m^{2}$

           The shape of the orchard is a perfect square.

To find: a) the length of the rose garden.

             b) the area and side of the orchard.

             c) the area allotted for cattle.

Solution:

Area of rose garden= 225 $m^{2}$

Let the length of the rose garden be 'a' meter.

∴ $a^{2}$ = 225 $m^{2}$

⇒ $a$ = $\sqrt{225m^{2} }$

       = 15 m

a) Length of rose garden= 15m

The remaining area of land= (1225 - 225) $m^{2}$

                                             = 1000 $m^{2}$

Since the orchard is a perfect square,

∴ The area of the orchard should also be a perfect square.

$\sqrt{1000m^{2} }$ = 31.622 m

We will take 31 m as the sides of the orchard since 31.622m will not give a perfect square of 1000 $m^{2}$.

Area of the orchard= (31 × 31) $m^{2}$

                               = 961 $m^{2}$

b) Area of Orchard= 961 $m^{2}$

   Side of orchard= 31 m

∴ Area allotted for cattle= (1000 - 961) $m^{2}$

                                     = 39 $m^{2}$

c) Area allotted for cattle= 39 $m^{2}$

Answers) a) Length of rose garden= 15m

                 b) Area of orchard= 961 $m^{2}$

                      Side of the orchard= 31 m

                  c) Area allotted for cattle= 39 $m^{2}$