Question

Half the perimeter of a rectangular garden ,whose length is 5

more than its width ,is 25m.find the area of rectangular garden.
​

Answer 1

Answer: 1000 sq m

Step-by-step explanation: half perimeter = 20*25 = 500 sq m

Perimeter = 500sq m *2 = 1000 sq m

Answer 2

$\large{\underline{\rm{\green{\bf{Question:-}}}}}$

Half the perimeter of a rectangular garden, whose length is 5  m more than its width, is 25 m. Find the area of rectangular garden.

$\large{\underline{\rm{\green{\bf{Given:-}}}}}$

Length = 5 + Width

Half perimeter = 25 m

$\large{\underline{\rm{\green{\bf{To \: Find:-}}}}}$

The area of the rectangular garden.

​$\large{\underline{\rm{\green{\bf{Solution:-}}}}}$

Let us consider the length to be l and breadth to be b

According to the question,

$\boxed{\sf \dfrac{1}{2} \times 2(Length+Breadth)=25 \: m }$

Length = 5 + Breadth

$\sf \dfrac{1}{2} \times 2 (5+b+b)=25$

L = Length

B = Breadth

Now, from the given information

$\sf 5+2b=25$

$\sf 2b=25-5$

$\sf 2b=20$

Finding breadth,

$\sf b=\dfrac{20}{2}$

$\sf b=10 \: m$

Now, finding length

$\sf l=15+b$

$\sf l=15 \: m$

Hence, the length is 15 m and breadth 10 m

Finding the area,

Area of the rectangle = $\boxed{\sf Length \times Breadth}$

Substituting the length and breadth in the formula, we get

$\sf 15 \times 10$

$\sf = \underline{\underline{150 \: m^{2}}}$

Therefore the area is 150 square meters.

$\large{\underline{\rm{\green{\bf{Note:-}}}}}$

Formula of area of a rectangle: Length × Breadth

Formula of perimeter of a rectangle = 2 × Length + Breadth

The area is the space occupied by a flat shape or the surface of an object.