Question

find the perimeter and area of a rectangular piece of land measuring 25/2 by 26/5 how much area of the land is left on used it for small square flower bed sheets of side length one metre are made at the centre?​

Answer 1

Perimeter of the land is 35.4 m

Area of land is 65 m²

Area of the land left after flower beds is 61 m²

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Answer 2

ANSWER-

☆Perimeter of rectangular piece of land = 177/5 m.

☆Area of rectangular piece of land = 65 square metre.

☆Total are of land left unused = 61 square metre.

Step-by-step explanation-

Given,

• Length of rectangular piece of land=$\tt { \frac{25}{2} m}$

• Breadth of rectangular piece of land = $\tt { \frac{26}{5} m}$

• Sides of square flower beds = $\tt { 1m}$

To find-

• Area and perimeter of rectangular piece of land.
• Total area of land which is left unused.

How to solve?

• As we have given the dimensions of rectangular piece of land , then we'll calculate it's perimeter by the formula [ 2 × (length + breadth)] and area by the formula [length × breadth ].

• Then, we'll find the are of the small square beds by the formula [ side × side ].

• Then, we'll subtract the area covered by 4 small flower beds from total area of rectangular piece of land to find how much land left.

Solution-

Length of rectangular piece of land=$\tt { \frac{25}{2} m}$

Breadth = $\tt {\frac{26}{5}m}$

$\huge\sf\blue {Perimeter \: of \: rec.= 2 \times (l + b)}$

$\tt { = > 2( \frac{25}{2} + \frac{26}{5} )m}$

$\tt {= > 2 \: \times \frac{177}{10} = \frac{177}{5} m}$

So, perimeter of rectangular piece of land is $\sf { \frac {177}{5}m }$

Now,

$\huge\sf\blue {area \: of \: rectangle = l \times b}$

$\tt { = > ( \frac{25}{2} \times \frac{26}{5} )m = 13 \times 5 = {65m}^{2}}$

So area of rectangular piece of land is

${65m}^{2}$

____...

Now, we'll calculate the area of small square beds.

$\huge\sf\blue {area \: of \: square = side \times side}$

Area covered by one small square bed =

$\tt {1m \times 1m = {1m}^{2}}$

Area covered by 4 small square beds =

$\tt {4 \: \times {1m}^{2} = {4m}^{2}}$

____...

Now,

Area of the land left unused =

$\tt {65 {m}^{2} - {4m}^{2}}$

$\tt {= 61 {m}^{2}}$

So, total area of land left unused is 61 square metre.