Question

Seema has a square shaped garden of 40 cm side guitar has a rectangular garden of breath 25cm but the area of both the Gardens is same find the length of Geetha Garden​

Answer 1

Question :-

• Seema has a square shaped garden of side 40 cm. Geetha has a rectangular garden of breadth 25 cm but the area of both the gardens is same. Find the length of Geetha's garden.

Answer :-

• The length of Geetha's garden is 64 cm.

To find :-

• The length of Geetha's garden.

Solution :-

• Before finding the length of Geetha's garden, let's find the area of Seema's garden.

It is a square shaped garden, so we will use the formula for finding the area of a square.

We know that :-

$\underline{ \boxed{\sf Area \: of \: a \: square = Side \times Side}}$

Here,

• Side = 40 cm.

Hence :-

$\longmapsto\bf Area = 40 \times 40$

$\longmapsto\bf Area = 1600 \: {cm}^{2}$

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Now, it is given that :-

• The area of Geetha and Seema's garden is the same.

So,

• The area of Seema's garden is 1600 cm² too.

Seema has a rectangular garden, so we will use the formula required to find the area of a rectangle for finding the length of the garden.

We know that :-

$\underline{ \boxed{\sf Area \: of \: a \: rectangle = Length \times Breadth}}$

Here,

• Area = 1600 cm².
• Breadth = 25 cm.

• Let the length be "x" cm.

Substituting the given values in this formula,

$\longmapsto\rm 1600 = 25 \times x$

$\longmapsto\rm1600 = 25x$

$\longmapsto\rm \dfrac{1600}{25} = x$

$\longmapsto\overline{ \boxed{\rm64 \: cm = x}}$

Hence :-

• The length of Geetha's garden is 64 cm.